82526288 has 40 divisors (see below), whose sum is σ = 176217888. Its totient is φ = 37199232.

The previous prime is 82526267. The next prime is 82526299. The reversal of 82526288 is 88262528.

It is a super-2 number, since 2×82526288² = 13621176422117888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4331 + ... + 13557.

Almost surely, 2^82526288 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 82526288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88108944).

82526288 is an abundant number, since it is smaller than the sum of its proper divisors (93691600).

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

82526288 is a wasteful number, since it uses less digits than its factorization.

82526288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9291 (or 9285 counting only the distinct ones).

The product of its digits is 122880, while the sum is 41.

The square root of 82526288 is about 9084.3980538063. The cubic root of 82526288 is about 435.3756177852.

The spelling of 82526288 in words is "eighty-two million, five hundred twenty-six thousand, two hundred eighty-eight".