52128000 has 216 divisors, whose sum is σ = 188608056. Its totient is φ = 13824000.

The previous prime is 52127983. The next prime is 52128017. The reversal of 52128000 is 82125.

It is an interprime number because it is at equal distance from previous prime (52127983) and next prime (52128017).

It can be written as a sum of positive squares in 4 ways, for example, as 14379264 + 37748736 = 3792^2 + 6144^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287910 + ... + 288090.

Almost surely, 2^52128000 is an apocalyptic number.

52128000 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 52128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94304028).

52128000 is an abundant number, since it is smaller than the sum of its proper divisors (136480056).

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

52128000 is a wasteful number, since it uses less digits than its factorization.

52128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 52128000 is about 7219.9722991158. The cubic root of 52128000 is about 373.5571220624.

The spelling of 52128000 in words is "fifty-two million, one hundred twenty-eight thousand".