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28765792 = 2511711151
BaseRepresentation
bin110110110111…
…0111001100000
32000010110020201
41231232321200
524331001132
62504314544
7466335166
oct155567140
960113221
1028765792
1115268190
129772a54
135c622a3
143b6b236
1527d32e7
hex1b6ee60

28765792 has 48 divisors (see below), whose sum is σ = 62705664. Its totient is φ = 12880000.

The previous prime is 28765771. The next prime is 28765813. The reversal of 28765792 is 29756782.

It is an interprime number because it is at equal distance from previous prime (28765771) and next prime (28765813).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24417 + ... + 25567.

It is an arithmetic number, because the mean of its divisors is an integer number (1306368).

Almost surely, 228765792 is an apocalyptic number.

28765792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28765792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31352832).

28765792 is an abundant number, since it is smaller than the sum of its proper divisors (33939872).

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

28765792 is a wasteful number, since it uses less digits than its factorization.

28765792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1235 counting only the distinct ones).

The product of its digits is 423360, while the sum is 46.

The square root of 28765792 is about 5363.3750568089. The cubic root of 28765792 is about 306.4023641672.

It can be divided in two parts, 2876 and 5792, that added together give a palindrome (8668).

The spelling of 28765792 in words is "twenty-eight million, seven hundred sixty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 284 352 568 781 1136 1151 1562 2272 2302 3124 4604 6248 9208 12496 12661 18416 24992 25322 36832 50644 81721 101288 163442 202576 326884 405152 653768 898931 1307536 1797862 2615072 3595724 7191448 14382896 28765792