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28920768 = 2633143113
BaseRepresentation
bin110111001010…
…0101111000000
32000102022211120
41232110233000
524400431033
62511512240
7500552052
oct156245700
960368746
1028920768
1115363668
129828680
135cb79a6
143bab8d2
1528141b3
hex1b94bc0

28920768 has 112 divisors (see below), whose sum is σ = 81540096. Its totient is φ = 9031680.

The previous prime is 28920767. The next prime is 28920779. The reversal of 28920768 is 86702982.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28920761) 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, 255880 + ... + 255992.

Almost surely, 228920768 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 28920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40770048).

28920768 is an abundant number, since it is smaller than the sum of its proper divisors (52619328).

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

28920768 is a wasteful number, since it uses less digits than its factorization.

28920768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 28920768 is about 5377.8032689938. The cubic root of 28920768 is about 306.9516275861.

The spelling of 28920768 in words is "twenty-eight million, nine hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 64 86 93 96 113 124 129 172 186 192 226 248 258 339 344 372 452 496 516 678 688 744 904 992 1032 1333 1356 1376 1488 1808 1984 2064 2666 2712 2752 2976 3503 3616 3999 4128 4859 5332 5424 5952 7006 7232 7998 8256 9718 10509 10664 10848 14012 14577 15996 19436 21018 21328 21696 28024 29154 31992 38872 42036 42656 56048 58308 63984 77744 84072 85312 112096 116616 127968 150629 155488 168144 224192 233232 255936 301258 310976 336288 451887 466464 602516 672576 903774 932928 1205032 1807548 2410064 3615096 4820128 7230192 9640256 14460384 28920768