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28935360 = 2633517197
BaseRepresentation
bin110111001100…
…0010011000000
32000110001212000
41232120103000
524401412420
62512104000
7500642436
oct156302300
960401760
1028935360
1115373623
129835000
135cc151c
143bb2d56
152818690
hex1b984c0

28935360 has 224 divisors, whose sum is σ = 108630720. Its totient is φ = 7225344.

The previous prime is 28935349. The next prime is 28935371. The reversal of 28935360 is 6353982.

It is an interprime number because it is at equal distance from previous prime (28935349) and next prime (28935371).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146782 + ... + 146978.

Almost surely, 228935360 is an apocalyptic number.

28935360 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 28935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54315360).

28935360 is an abundant number, since it is smaller than the sum of its proper divisors (79695360).

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

28935360 is a wasteful number, since it uses less digits than its factorization.

28935360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 28935360 is about 5379.1597856914. The cubic root of 28935360 is about 307.0032431478.

The spelling of 28935360 in words is "twenty-eight million, nine hundred thirty-five thousand, three hundred sixty".