82628424 has 80 divisors (see below), whose sum is σ = 239471100. Its totient is φ = 26587008.

The previous prime is 82628417. The next prime is 82628459. The reversal of 82628424 is 42482628.

It is a happy number.

82628424 is a `hidden beast` number, since 8 + 2 + 628 + 4 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82628100 + 324 = 9090^2 + 18^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16594 + ... + 20990.

Almost surely, 2^82628424 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 82628424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119735550).

82628424 is an abundant number, since it is smaller than the sum of its proper divisors (156842676).

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

82628424 is a wasteful number, since it uses less digits than its factorization.

82628424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4431 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 82628424 is about 9090.0178217647. The cubic root of 82628424 is about 435.5551532730. Note that the first 3 decimals are identical.

The spelling of 82628424 in words is "eighty-two million, six hundred twenty-eight thousand, four hundred twenty-four".