Search a number
-
+
28713501540 = 22335536116447
BaseRepresentation
bin11010101111011101…
…010100001101100100
32202010002112000021000
4122233131110031210
5432301124022130
621105113553300
72034355510323
oct325735241544
982102460230
1028713501540
11111a5028769
125694115830
1329279a66c9
1415656400ba
15b30c04260
hex6af754364

28713501540 has 192 divisors, whose sum is σ = 92514078720. Its totient is φ = 7388858880.

The previous prime is 28713501511. The next prime is 28713501541. The reversal of 28713501540 is 4510531782.

28713501540 is a `hidden beast` number, since 2 + 87 + 1 + 35 + 0 + 1 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28713501495 and 28713501504.

It is not an unprimeable number, because it can be changed into a prime (28713501541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1737597 + ... + 1754043.

It is an arithmetic number, because the mean of its divisors is an integer number (481844160).

Almost surely, 228713501540 is an apocalyptic number.

28713501540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28713501540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46257039360).

28713501540 is an abundant number, since it is smaller than the sum of its proper divisors (63800577180).

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

28713501540 is a wasteful number, since it uses less digits than its factorization.

28713501540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16579 (or 16571 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 28713501540 in words is "twenty-eight billion, seven hundred thirteen million, five hundred one thousand, five hundred forty".