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28613952 = 263329571
BaseRepresentation
bin110110100100…
…1110101000000
31222211201222000
41231021311000
524311121302
62501144000
7465133413
oct155116500
958751860
1028613952
11151740a4
1296bb000
135c0b143
143b2bb7a
1527a331c
hex1b49d40

28613952 has 112 divisors (see below), whose sum is σ = 87172800. Its totient is φ = 9192960.

The previous prime is 28613927. The next prime is 28613953. The reversal of 28613952 is 25931682.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28613953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49827 + ... + 50397.

Almost surely, 228613952 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 28613952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43586400).

28613952 is an abundant number, since it is smaller than the sum of its proper divisors (58558848).

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

28613952 is a wasteful number, since it uses less digits than its factorization.

28613952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 605 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 28613952 is about 5349.2010618409. The cubic root of 28613952 is about 305.8622986736.

The spelling of 28613952 in words is "twenty-eight million, six hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 571 576 696 783 864 928 1044 1142 1392 1566 1713 1728 1856 2088 2284 2784 3132 3426 4176 4568 5139 5568 6264 6852 8352 9136 10278 12528 13704 15417 16559 16704 18272 20556 25056 27408 30834 33118 36544 41112 49677 50112 54816 61668 66236 82224 99354 109632 123336 132472 149031 164448 198708 246672 264944 298062 328896 397416 447093 493344 529888 596124 794832 894186 986688 1059776 1192248 1589664 1788372 2384496 3179328 3576744 4768992 7153488 9537984 14306976 28613952