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28661728 = 2517194759
BaseRepresentation
bin110110101010…
…1011111100000
31222221011111111
41231111133200
524314133403
62502153104
7465422614
oct155253740
958834444
1028661728
11151a6a87
129722794
135c26b04
143b41344
1527b256d
hex1b557e0

28661728 has 96 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 12294144.

The previous prime is 28661713. The next prime is 28661783. The reversal of 28661728 is 82716682.

Its product of digits (64512) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485763 + ... + 485821.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 228661728 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 28661728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

28661728 is an abundant number, since it is smaller than the sum of its proper divisors (36656672).

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

28661728 is a wasteful number, since it uses less digits than its factorization.

28661728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 28661728 is about 5353.6649129358. The cubic root of 28661728 is about 306.0324342285.

The spelling of 28661728 in words is "twenty-eight million, six hundred sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 47 59 68 76 94 118 136 152 188 236 272 304 323 376 472 544 608 646 752 799 893 944 1003 1121 1292 1504 1598 1786 1888 2006 2242 2584 2773 3196 3572 4012 4484 5168 5546 6392 7144 8024 8968 10336 11092 12784 14288 15181 16048 17936 19057 22184 25568 28576 30362 32096 35872 38114 44368 47141 52687 60724 76228 88736 94282 105374 121448 152456 188564 210748 242896 304912 377128 421496 485792 609824 754256 842992 895679 1508512 1685984 1791358 3582716 7165432 14330864 28661728