55879328 has 36 divisors (see below), whose sum is σ = 115038378. Its totient is φ = 26716800.

The previous prime is 55879319. The next prime is 55879337. The reversal of 55879328 is 82397855.

It is an interprime number because it is at equal distance from previous prime (55879319) and next prime (55879337).

It can be written as a sum of positive squares in only one way, i.e., 52823824 + 3055504 = 7268^2 + 1748^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15278 + ... + 18578.

Almost surely, 2^55879328 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 55879328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57519189).

55879328 is an abundant number, since it is smaller than the sum of its proper divisors (59159050).

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

55879328 is a wasteful number, since it uses less digits than its factorization.

55879328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3326 counting only the distinct ones).

The product of its digits is 604800, while the sum is 47.

The square root of 55879328 is about 7475.2476882041. The cubic root of 55879328 is about 382.3112327002.

The spelling of 55879328 in words is "fifty-five million, eight hundred seventy-nine thousand, three hundred twenty-eight".