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28064352 = 253377901
BaseRepresentation
bin110101100001…
…1101001100000
31221210211001110
41223003221200
524141024402
62441303320
7460354161
oct153035140
957724043
1028064352
1114929188
129494b40
135a77c34
143a27768
1526e556c
hex1ac3a60

28064352 has 48 divisors (see below), whose sum is σ = 75669552. Its totient is φ = 9100800.

The previous prime is 28064317. The next prime is 28064359. The reversal of 28064352 is 25346082.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28064359) 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 7 ways as a sum of consecutive naturals, for example, 399 + ... + 7502.

It is an arithmetic number, because the mean of its divisors is an integer number (1576449).

Almost surely, 228064352 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 28064352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37834776).

28064352 is an abundant number, since it is smaller than the sum of its proper divisors (47605200).

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

28064352 is a wasteful number, since it uses less digits than its factorization.

28064352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 28064352 is about 5297.5798247879. The cubic root of 28064352 is about 303.8913508319.

The spelling of 28064352 in words is "twenty-eight million, sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 7901 15802 23703 31604 47406 63208 94812 126416 189624 252832 292337 379248 584674 758496 877011 1169348 1754022 2338696 3508044 4677392 7016088 9354784 14032176 28064352