2832624432 has 400 divisors, whose sum is σ = 9567030528. Its totient is φ = 800616960.

The previous prime is 2832624413. The next prime is 2832624469. The reversal of 2832624432 is 2344262382.

2832624432 is a `hidden beast` number, since 28 + 3 + 2 + 624 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×2832624432² = 16047522345526645248, which contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 17377983 + ... + 17378145.

Almost surely, 2^2832624432 is an apocalyptic number.

2832624432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2832624432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783515264).

2832624432 is an abundant number, since it is smaller than the sum of its proper divisors (6734406096).

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

2832624432 is a wasteful number, since it uses less digits than its factorization.

2832624432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 2832624432 is about 53222.4053571426. The cubic root of 2832624432 is about 1414.9127678289.

It can be divided in two parts, 2832 and 624432, that added together give a square (627264 = 792²).

The spelling of 2832624432 in words is "two billion, eight hundred thirty-two million, six hundred twenty-four thousand, four hundred thirty-two".