55601728 has 56 divisors (see below), whose sum is σ = 135810752. Its totient is φ = 21993984.

The previous prime is 55601669. The next prime is 55601737. The reversal of 55601728 is 82710655.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 55601693 and 55601702.

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, 1051 + ... + 10597.

It is an arithmetic number, because the mean of its divisors is an integer number (2425192).

Almost surely, 2^55601728 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 55601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67905376).

55601728 is an abundant number, since it is smaller than the sum of its proper divisors (80209024).

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

55601728 is a wasteful number, since it uses less digits than its factorization.

55601728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9579 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 55601728 is about 7456.6566234473. The cubic root of 55601728 is about 381.6770934226.

The spelling of 55601728 in words is "fifty-five million, six hundred one thousand, seven hundred twenty-eight".