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28922688 = 2632149337
BaseRepresentation
bin110111001010…
…1001101000000
32000102102110200
41232111031000
524401011223
62511525200
7500560464
oct156251500
960372420
1028922688
1115365053
129829800
135cb8822
143bac4a4
152814a43
hex1b95340

28922688 has 84 divisors (see below), whose sum is σ = 83705700. Its totient is φ = 9547776.

The previous prime is 28922687. The next prime is 28922701. The reversal of 28922688 is 88622982.

It can be written as a sum of positive squares in 2 ways, for example, as 5419584 + 23503104 = 2328^2 + 4848^2 .

It is a super-2 number, since 2×289226882 = 1673043762290688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28922681) 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 11 ways as a sum of consecutive naturals, for example, 85656 + ... + 85992.

Almost surely, 228922688 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 28922688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41852850).

28922688 is an abundant number, since it is smaller than the sum of its proper divisors (54783012).

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

28922688 is a wasteful number, since it uses less digits than its factorization.

28922688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 491 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 28922688 is about 5377.9817775816. The cubic root of 28922688 is about 306.9584200991.

The spelling of 28922688 in words is "twenty-eight million, nine hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 149 192 288 298 337 447 576 596 674 894 1011 1192 1341 1348 1788 2022 2384 2682 2696 3033 3576 4044 4768 5364 5392 6066 7152 8088 9536 10728 10784 12132 14304 16176 21456 21568 24264 28608 32352 42912 48528 50213 64704 85824 97056 100426 150639 194112 200852 301278 401704 451917 602556 803408 903834 1205112 1606816 1807668 2410224 3213632 3615336 4820448 7230672 9640896 14461344 28922688