653200128 has 216 divisors, whose sum is σ = 2179116576. Its totient is φ = 184320000.

The previous prime is 653200117. The next prime is 653200159. The reversal of 653200128 is 821002356.

653200128 is a `hidden beast` number, since 6 + 532 + 0 + 0 + 128 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1628728 + ... + 1629128.

Almost surely, 2^653200128 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 653200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089558288).

653200128 is an abundant number, since it is smaller than the sum of its proper divisors (1525916448).

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

653200128 is a wasteful number, since it uses less digits than its factorization.

653200128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 653200128 is about 25557.7801852978. The cubic root of 653200128 is about 867.6583562066.

The spelling of 653200128 in words is "six hundred fifty-three million, two hundred thousand, one hundred twenty-eight".