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28188992 = 2613171993
BaseRepresentation
bin110101110001…
…0000101000000
31222001011000202
41223202011000
524204021432
62444104332
7461413436
oct153420500
958034022
1028188992
1114a03897
1295350a8
135abc8a0
143a5ad56
15271c462
hex1ae2140

28188992 has 56 divisors (see below), whose sum is σ = 63815976. Its totient is φ = 12238848.

The previous prime is 28188971. The next prime is 28188997. The reversal of 28188992 is 29988182.

It can be written as a sum of positive squares in 4 ways, for example, as 5683456 + 22505536 = 2384^2 + 4744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28188997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13148 + ... + 15140.

It is an arithmetic number, because the mean of its divisors is an integer number (1139571).

Almost surely, 228188992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31907988).

28188992 is an abundant number, since it is smaller than the sum of its proper divisors (35626984).

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

28188992 is a wasteful number, since it uses less digits than its factorization.

28188992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2025 counting only the distinct ones).

The product of its digits is 165888, while the sum is 47.

The square root of 28188992 is about 5309.3306546117. The cubic root of 28188992 is about 304.3405693815.

The spelling of 28188992 in words is "twenty-eight million, one hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 1993 3536 3986 7072 7972 14144 15944 25909 31888 33881 51818 63776 67762 103636 127552 135524 207272 271048 414544 440453 542096 829088 880906 1084192 1658176 1761812 2168384 3523624 7047248 14094496 28188992