81462528 has 108 divisors (see below), whose sum is σ = 268483488. Its totient is φ = 23270400.

The previous prime is 81462523. The next prime is 81462541. The reversal of 81462528 is 82526418.

81462528 is a `hidden beast` number, since 8 + 1 + 4 + 625 + 28 = 666.

It is a super-2 number, since 2×81462528² = 13272286936301568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 81462492 and 81462501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81462523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13603 + ... + 18653.

Almost surely, 2^81462528 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 81462528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134241744).

81462528 is an abundant number, since it is smaller than the sum of its proper divisors (187020960).

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

81462528 is a wasteful number, since it uses less digits than its factorization.

81462528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5063 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 81462528 is about 9025.6594218927. The cubic root of 81462528 is about 433.4968650372.

The spelling of 81462528 in words is "eighty-one million, four hundred sixty-two thousand, five hundred twenty-eight".