28370908800 has 1152 divisors, whose sum is σ = 118043784000. Its totient is φ = 6642155520.

The previous prime is 28370908793. The next prime is 28370908807. The reversal of 28370908800 is 880907382.

It is an interprime number because it is at equal distance from previous prime (28370908793) and next prime (28370908807).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×28370908800² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28370908807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 423446367 + ... + 423446433.

Almost surely, 2^28370908800 is an apocalyptic number.

28370908800 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 28370908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59021892000).

28370908800 is an abundant number, since it is smaller than the sum of its proper divisors (89672875200).

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

28370908800 is a wasteful number, since it uses less digits than its factorization.

28370908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 28370908800 in words is "twenty-eight billion, three hundred seventy million, nine hundred eight thousand, eight hundred".