55432832 has 64 divisors (see below), whose sum is σ = 135945600. Its totient is φ = 21924864.

The previous prime is 55432813. The next prime is 55432847. The reversal of 55432832 is 23823455.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9269 + ... + 14027.

It is an arithmetic number, because the mean of its divisors is an integer number (2124150).

Almost surely, 2^55432832 is an apocalyptic number.

55432832 is a gapful number since it is divisible by the number (52) 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 55432832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67972800).

55432832 is an abundant number, since it is smaller than the sum of its proper divisors (80512768).

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

55432832 is a wasteful number, since it uses less digits than its factorization.

55432832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793 (or 4781 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 55432832 is about 7445.3228271177. The cubic root of 55432832 is about 381.2902402388.

The spelling of 55432832 in words is "fifty-five million, four hundred thirty-two thousand, eight hundred thirty-two".