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28767672 = 233217191237
BaseRepresentation
bin110110110111…
…1010110111000
32000010112211100
41231233112320
524331031142
62504331400
7466343523
oct155572670
960115740
1028767672
111526963a
129773b60
135c630bb
143b6bbba
1527d3b4c
hex1b6f5b8

28767672 has 96 divisors (see below), whose sum is σ = 86907600. Its totient is φ = 8543232.

The previous prime is 28767649. The next prime is 28767677. The reversal of 28767672 is 27676782.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28767677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22638 + ... + 23874.

Almost surely, 228767672 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 28767672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43453800).

28767672 is an abundant number, since it is smaller than the sum of its proper divisors (58139928).

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

28767672 is a wasteful number, since it uses less digits than its factorization.

28767672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1278 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 28767672 is about 5363.5503167212. The cubic root of 28767672 is about 306.4090390387.

The spelling of 28767672 in words is "twenty-eight million, seven hundred sixty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 969 1224 1237 1292 1368 1938 2474 2584 2907 3711 3876 4948 5814 7422 7752 9896 11133 11628 14844 21029 22266 23256 23503 29688 42058 44532 47006 63087 70509 84116 89064 94012 126174 141018 168232 188024 189261 211527 252348 282036 378522 399551 423054 504696 564072 757044 799102 846108 1198653 1514088 1598204 1692216 2397306 3196408 3595959 4794612 7191918 9589224 14383836 28767672