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28338528 = 2531631811
BaseRepresentation
bin110110000011…
…0100101100000
31222022202011010
41230012211200
524223313103
62451220520
7462605421
oct154064540
958282133
1028338528
1114aa6179
1295a7740
135b4297a
143a99648
15274b903
hex1b06960

28338528 has 48 divisors (see below), whose sum is σ = 74886336. Its totient is φ = 9383040.

The previous prime is 28338523. The next prime is 28338533. The reversal of 28338528 is 82583382.

It is an interprime number because it is at equal distance from previous prime (28338523) and next prime (28338533).

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 (28338523) 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, 14743 + ... + 16553.

It is an arithmetic number, because the mean of its divisors is an integer number (1560132).

Almost surely, 228338528 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 28338528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37443168).

28338528 is an abundant number, since it is smaller than the sum of its proper divisors (46547808).

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

28338528 is a wasteful number, since it uses less digits than its factorization.

28338528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1979 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 28338528 is about 5323.3944058279. The cubic root of 28338528 is about 304.8777723985.

The spelling of 28338528 in words is "twenty-eight million, three hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1811 1956 2608 3622 3912 5216 5433 7244 7824 10866 14488 15648 21732 28976 43464 57952 86928 173856 295193 590386 885579 1180772 1771158 2361544 3542316 4723088 7084632 9446176 14169264 28338528