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28882560 = 273572307
BaseRepresentation
bin110111000101…
…1011010000000
32000100101102110
41232023122000
524343220220
62511015320
7500332500
oct156133200
960311373
1028882560
1115337993
12980a540
135ca3495
143b9ba00
152807be0
hex1b8b680

28882560 has 192 divisors, whose sum is σ = 107442720. Its totient is φ = 6580224.

The previous prime is 28882559. The next prime is 28882577. The reversal of 28882560 is 6528882.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 93927 + ... + 94233.

Almost surely, 228882560 is an apocalyptic number.

28882560 is a gapful number since it is divisible by the number (20) 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 28882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53721360).

28882560 is an abundant number, since it is smaller than the sum of its proper divisors (78560160).

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

28882560 is a wasteful number, since it uses less digits than its factorization.

28882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 28882560 is about 5374.2497150765. The cubic root of 28882560 is about 306.8163940138.

The spelling of 28882560 in words is "twenty-eight million, eight hundred eighty-two thousand, five hundred sixty".