5828272800 has 648 divisors, whose sum is σ = 23644299168. Its totient is φ = 1221350400.

The previous prime is 5828272789. The next prime is 5828272811. The reversal of 5828272800 is 82728285.

It is an interprime number because it is at equal distance from previous prime (5828272789) and next prime (5828272811).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 188008785 + ... + 188008815.

It is an arithmetic number, because the mean of its divisors is an integer number (36488116).

Almost surely, 2^5828272800 is an apocalyptic number.

5828272800 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 5828272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11822149584).

5828272800 is an abundant number, since it is smaller than the sum of its proper divisors (17816026368).

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

5828272800 is a wasteful number, since it uses less digits than its factorization.

5828272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 5828272800 is about 76343.1254272446. The cubic root of 5828272800 is about 1799.6164614925.

Multiplying 5828272800 by its sum of digits (42), we get a square (244787457600 = 494760²).

5828272800 divided by its sum of digits (42) gives a square (138768400 = 11780²).

The spelling of 5828272800 in words is "five billion, eight hundred twenty-eight million, two hundred seventy-two thousand, eight hundred".