5428800 has 252 divisors, whose sum is σ = 21496020. Its totient is φ = 1290240.

The previous prime is 5428783. The next prime is 5428807. The reversal of 5428800 is 88245.

It can be written as a sum of positive squares in 6 ways, for example, as 553536 + 4875264 = 744^2 + 2208^2 .

It is not an unprimeable number, because it can be changed into a prime (5428807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187186 + ... + 187214.

Almost surely, 2^5428800 is an apocalyptic number.

5428800 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 5428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748010).

5428800 is an abundant number, since it is smaller than the sum of its proper divisors (16067220).

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

5428800 is a wasteful number, since it uses less digits than its factorization.

5428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5428800 is about 2329.9785406737. The cubic root of 5428800 is about 175.7524066749.

The spelling of 5428800 in words is "five million, four hundred twenty-eight thousand, eight hundred".