52768800 has 288 divisors, whose sum is σ = 218736000. Its totient is φ = 12026880.

The previous prime is 52768787. The next prime is 52768801. The reversal of 52768800 is 886725.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52768801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151026 + ... + 151374.

It is an arithmetic number, because the mean of its divisors is an integer number (759500).

Almost surely, 2^52768800 is an apocalyptic number.

52768800 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 52768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109368000).

52768800 is an abundant number, since it is smaller than the sum of its proper divisors (165967200).

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

52768800 is a wasteful number, since it uses less digits than its factorization.

52768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 52768800 is about 7264.2136532456. The cubic root of 52768800 is about 375.0815822503.

The spelling of 52768800 in words is "fifty-two million, seven hundred sixty-eight thousand, eight hundred".