85926528 has 192 divisors, whose sum is σ = 270748800. Its totient is φ = 26813952.

The previous prime is 85926509. The next prime is 85926539. The reversal of 85926528 is 82562958.

85926528 is a `hidden beast` number, since 8 + 592 + 6 + 52 + 8 = 666.

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

Its product of digits (345600) is a multiple of the sum of its prime divisors (75).

It is a zygodrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1828201 + ... + 1828247.

It is an arithmetic number, because the mean of its divisors is an integer number (1410150).

Almost surely, 2^85926528 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 85926528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135374400).

85926528 is an abundant number, since it is smaller than the sum of its proper divisors (184822272).

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

85926528 is a wasteful number, since it uses less digits than its factorization.

85926528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 85926528 is about 9269.6563043082. The cubic root of 85926528 is about 441.2747605191.

The spelling of 85926528 in words is "eighty-five million, nine hundred twenty-six thousand, five hundred twenty-eight".