56128900 has 72 divisors (see below), whose sum is σ = 130444776. Its totient is φ = 20889600.

The previous prime is 56128847. The next prime is 56128903. The reversal of 56128900 is 982165.

It can be written as a sum of positive squares in 12 ways, for example, as 2458624 + 53670276 = 1568^2 + 7326^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56128903) 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, 232780 + ... + 233020.

It is an arithmetic number, because the mean of its divisors is an integer number (1811733).

Almost surely, 2^56128900 is an apocalyptic number.

56128900 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 56128900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65222388).

56128900 is an abundant number, since it is smaller than the sum of its proper divisors (74315876).

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

56128900 is a wasteful number, since it uses less digits than its factorization.

56128900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 56128900 is about 7491.9223167355. The cubic root of 56128900 is about 382.8795554616.

The spelling of 56128900 in words is "fifty-six million, one hundred twenty-eight thousand, nine hundred".