882642432 has 160 divisors (see below), whose sum is σ = 2716826112. Its totient is φ = 249421824.

The previous prime is 882642427. The next prime is 882642451. The reversal of 882642432 is 234246288.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107058 + ... + 1107854.

Almost surely, 2^882642432 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 882642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358413056).

882642432 is an abundant number, since it is smaller than the sum of its proper divisors (1834183680).

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

882642432 is a wasteful number, since it uses less digits than its factorization.

882642432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 912 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 882642432 is about 29709.2987463521. The cubic root of 882642432 is about 959.2421797148.

The spelling of 882642432 in words is "eight hundred eighty-two million, six hundred forty-two thousand, four hundred thirty-two".