56002800 has 240 divisors, whose sum is σ = 210343680. Its totient is φ = 12472320.

The previous prime is 56002789. The next prime is 56002831. The reversal of 56002800 is 820065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495544 + ... + 495656.

It is an arithmetic number, because the mean of its divisors is an integer number (876432).

Almost surely, 2^56002800 is an apocalyptic number.

56002800 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 56002800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105171840).

56002800 is an abundant number, since it is smaller than the sum of its proper divisors (154340880).

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

56002800 is a wasteful number, since it uses less digits than its factorization.

56002800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 56002800 is about 7483.5018540787. The cubic root of 56002800 is about 382.5926128855.

Adding to 56002800 its reverse (820065), we get a palindrome (56822865).

The spelling of 56002800 in words is "fifty-six million, two thousand, eight hundred".