55828100 has 36 divisors (see below), whose sum is σ = 121908864. Its totient is φ = 22190880.

The previous prime is 55828093. The next prime is 55828121. The reversal of 55828100 is 182855.

It is a super-2 number, since 2×55828100² = 6233553499220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15029 + ... + 18371.

Almost surely, 2^55828100 is an apocalyptic number.

55828100 is a gapful number since it is divisible by the number (50) 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 55828100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60954432).

55828100 is an abundant number, since it is smaller than the sum of its proper divisors (66080764).

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

55828100 is a wasteful number, since it uses less digits than its factorization.

55828100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 55828100 is about 7471.8203939870. The cubic root of 55828100 is about 382.1943676119.

The spelling of 55828100 in words is "fifty-five million, eight hundred twenty-eight thousand, one hundred".