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28710864 = 24327213313
BaseRepresentation
bin110110110000…
…1011111010000
32000000122220100
41231201133100
524322221424
62503212400
7466016100
oct155413720
960018810
1028710864
111522a996
129747100
135c432a0
143b55200
1527c1dc9
hex1b617d0

28710864 has 180 divisors, whose sum is σ = 100980516. Its totient is φ = 7547904.

The previous prime is 28710833. The next prime is 28710883. The reversal of 28710864 is 46801782.

It can be written as a sum of positive squares in 2 ways, for example, as 1587600 + 27123264 = 1260^2 + 5208^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91572 + ... + 91884.

Almost surely, 228710864 is an apocalyptic number.

28710864 is a gapful number since it is divisible by the number (24) 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 28710864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50490258).

28710864 is an abundant number, since it is smaller than the sum of its proper divisors (72269652).

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

28710864 is a wasteful number, since it uses less digits than its factorization.

28710864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 28710864 is about 5358.2519537625. The cubic root of 28710864 is about 306.2072157919.

The spelling of 28710864 in words is "twenty-eight million, seven hundred ten thousand, eight hundred sixty-four".