55766628 has 72 divisors (see below), whose sum is σ = 150329088. Its totient is φ = 17390208.

The previous prime is 55766611. The next prime is 55766629. The reversal of 55766628 is 82666755.

It is not an unprimeable number, because it can be changed into a prime (55766629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38200 + ... + 39632.

It is an arithmetic number, because the mean of its divisors is an integer number (2087904).

Almost surely, 2^55766628 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 55766628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75164544).

55766628 is an abundant number, since it is smaller than the sum of its proper divisors (94562460).

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

55766628 is a wasteful number, since it uses less digits than its factorization.

55766628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1508 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 55766628 is about 7467.7056717576. The cubic root of 55766628 is about 382.0540387538.

The spelling of 55766628 in words is "fifty-five million, seven hundred sixty-six thousand, six hundred twenty-eight".