82432830 has 128 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 19077120.

The previous prime is 82432807. The next prime is 82432871. The reversal of 82432830 is 3823428.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 455340 + ... + 455520.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^82432830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82432830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

82432830 is an abundant number, since it is smaller than the sum of its proper divisors (144004290).

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

82432830 is a wasteful number, since it uses less digits than its factorization.

82432830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 82432830 is about 9079.2527225538. The cubic root of 82432830 is about 435.2112067235.

The spelling of 82432830 in words is "eighty-two million, four hundred thirty-two thousand, eight hundred thirty".