82944432 has 80 divisors (see below), whose sum is σ = 240564960. Its totient is φ = 27360000.

The previous prime is 82944431. The next prime is 82944439. The reversal of 82944432 is 23444928.

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 not an unprimeable number, because it can be changed into a prime (82944431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42682 + ... + 44582.

It is an arithmetic number, because the mean of its divisors is an integer number (3007062).

Almost surely, 2^82944432 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 82944432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120282480).

82944432 is an abundant number, since it is smaller than the sum of its proper divisors (157620528).

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

82944432 is a wasteful number, since it uses less digits than its factorization.

82944432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2007 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 82944432 is about 9107.3833783365. The cubic root of 82944432 is about 436.1096994120.

It can be divided in two parts, 82944 and 432, that multiplied together give a 7-th power (35831808 = 12⁷).

The spelling of 82944432 in words is "eighty-two million, nine hundred forty-four thousand, four hundred thirty-two".