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28317792 = 253973041
BaseRepresentation
bin110110000000…
…1100001100000
31222021200201010
41230001201200
524222132132
62450540520
7462461106
oct154014140
958250633
1028317792
1114a91638
129597740
135b363b9
143a91c76
1527456cc
hex1b01860

28317792 has 48 divisors (see below), whose sum is σ = 75125232. Its totient is φ = 9338880.

The previous prime is 28317781. The next prime is 28317797. The reversal of 28317792 is 29771382.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28317792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28317797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7792 + ... + 10832.

It is an arithmetic number, because the mean of its divisors is an integer number (1565109).

Almost surely, 228317792 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 28317792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37562616).

28317792 is an abundant number, since it is smaller than the sum of its proper divisors (46807440).

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

28317792 is a wasteful number, since it uses less digits than its factorization.

28317792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3143 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 28317792 is about 5321.4464199125. The cubic root of 28317792 is about 304.8033920579.

The spelling of 28317792 in words is "twenty-eight million, three hundred seventeen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3041 3104 4656 6082 9123 9312 12164 18246 24328 36492 48656 72984 97312 145968 291936 294977 589954 884931 1179908 1769862 2359816 3539724 4719632 7079448 9439264 14158896 28317792