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28392250000 = 24563372
BaseRepresentation
bin11010011100010011…
…110101101010010000
32201021201000201222211
4122130103311222100
5431121404000000
621013200241504
72023405100032
oct323423655220
981251021884
1028392250000
111104a759724
125604610294
1328a627793a
141534ad7c52
15b128e87ba
hex69c4f5a90

28392250000 has 105 divisors (see below), whose sum is σ = 68966246127. Its totient is φ = 11323200000.

The previous prime is 28392249997. The next prime is 28392250009. The reversal of 28392250000 is 5229382.

The square root of 28392250000 is 168500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 17579577744 + 10812672256 = 132588^2 + 103984^2 .

It is a super-2 number, since 2×283922500002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28392250009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 84249832 + ... + 84250168.

Almost surely, 228392250000 is an apocalyptic number.

28392250000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28392250000 is the 168500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28392250000

28392250000 is an abundant number, since it is smaller than the sum of its proper divisors (40573996127).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28392250000 is an frugal number, since it uses more digits than its factorization.

28392250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 28392250000 its reverse (5229382), we get a palindrome (28397479382).

The spelling of 28392250000 in words is "twenty-eight billion, three hundred ninety-two million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 337 400 500 625 674 1000 1250 1348 1685 2000 2500 2696 3125 3370 5000 5392 6250 6740 8425 10000 12500 13480 15625 16850 25000 26960 31250 33700 42125 50000 62500 67400 84250 113569 125000 134800 168500 210625 227138 250000 337000 421250 454276 567845 674000 842500 908552 1053125 1135690 1685000 1817104 2106250 2271380 2839225 3370000 4212500 4542760 5265625 5678450 8425000 9085520 10531250 11356900 14196125 16850000 21062500 22713800 28392250 42125000 45427600 56784500 70980625 84250000 113569000 141961250 227138000 283922500 354903125 567845000 709806250 1135690000 1419612500 1774515625 2839225000 3549031250 5678450000 7098062500 14196125000 28392250000