55328832 has 140 divisors (see below), whose sum is σ = 176843436. Its totient is φ = 17003520.

The previous prime is 55328821. The next prime is 55328837. The reversal of 55328832 is 23882355.

55328832 is a `hidden beast` number, since 553 + 28 + 83 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 43877376 = 3384^2 + 6624^2 .

It is a super-2 number, since 2×55328832² = 6122559300968448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55328837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66982 + ... + 67802.

Almost surely, 2^55328832 is an apocalyptic number.

55328832 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 55328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88421718).

55328832 is an abundant number, since it is smaller than the sum of its proper divisors (121514604).

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

55328832 is a wasteful number, since it uses less digits than its factorization.

55328832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 839 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 55328832 is about 7438.3352976321. The cubic root of 55328832 is about 381.0516391040.

The spelling of 55328832 in words is "fifty-five million, three hundred twenty-eight thousand, eight hundred thirty-two".