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28525952 = 277133179
BaseRepresentation
bin110110011010…
…0010110000000
31222200021020202
41230310112000
524300312302
62455224332
7464316020
oct154642600
958607222
1028525952
1115113a74
1296780a8
135baa080
143b07a80
152787202
hex1b34580

28525952 has 128 divisors (see below), whose sum is σ = 73113600. Its totient is φ = 10782720.

The previous prime is 28525951. The next prime is 28525967. The reversal of 28525952 is 25952582.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (72000) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28525951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361049 + ... + 361127.

It is an arithmetic number, because the mean of its divisors is an integer number (571200).

Almost surely, 228525952 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 28525952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36556800).

28525952 is an abundant number, since it is smaller than the sum of its proper divisors (44587648).

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

28525952 is a wasteful number, since it uses less digits than its factorization.

28525952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its digits is 72000, while the sum is 38.

The square root of 28525952 is about 5340.9692004354. The cubic root of 28525952 is about 305.5484247274.

The spelling of 28525952 in words is "twenty-eight million, five hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 79 91 104 112 124 128 158 182 208 217 224 248 316 364 403 416 434 448 496 553 632 728 806 832 868 896 992 1027 1106 1264 1456 1612 1664 1736 1984 2054 2212 2449 2528 2821 2912 3224 3472 3968 4108 4424 4898 5056 5642 5824 6448 6944 7189 8216 8848 9796 10112 11284 11648 12896 13888 14378 16432 17143 17696 19592 22568 25792 27776 28756 31837 32864 34286 35392 39184 45136 51584 57512 63674 65728 68572 70784 78368 90272 115024 127348 131456 137144 156736 180544 222859 230048 254696 274288 313472 361088 445718 460096 509392 548576 891436 920192 1018784 1097152 1782872 2037568 2194304 3565744 4075136 7131488 14262976 28525952