28383436800 has 840 divisors, whose sum is σ = 110614739400. Its totient is φ = 7184056320.

The previous prime is 28383436789. The next prime is 28383436811. The reversal of 28383436800 is 863438382.

28383436800 is a `hidden beast` number, since 283 + 8 + 3 + 4 + 368 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28383436789) and next prime (28383436811).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 481075171 + ... + 481075229.

Almost surely, 2^28383436800 is an apocalyptic number.

28383436800 is a gapful number since it is divisible by the number (20) 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 28383436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55307369700).

28383436800 is an abundant number, since it is smaller than the sum of its proper divisors (82231302600).

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

28383436800 is an equidigital number, since it uses as much as digits as its factorization.

28383436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 28383436800 in words is "twenty-eight billion, three hundred eighty-three million, four hundred thirty-six thousand, eight hundred".