52005888 has 264 divisors, whose sum is σ = 178825920. Its totient is φ = 14929920.

The previous prime is 52005887. The next prime is 52005901. The reversal of 52005888 is 88850025.

52005888 is a `hidden beast` number, since 520 + 0 + 58 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×52005888² = 5409224773337088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (52005887) 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, 2737143 + ... + 2737161.

Almost surely, 2^52005888 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 52005888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89412960).

52005888 is an abundant number, since it is smaller than the sum of its proper divisors (126820032).

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

52005888 is a wasteful number, since it uses less digits than its factorization.

52005888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 52005888 is about 7211.5107987162. The cubic root of 52005888 is about 373.2652029870.

The spelling of 52005888 in words is "fifty-two million, five thousand, eight hundred eighty-eight".