28478236800 has 768 divisors, whose sum is σ = 110662917120. Its totient is φ = 6370099200.

The previous prime is 28478236799. The next prime is 28478236823. The reversal of 28478236800 is 863287482.

It is a happy number.

It is a super-2 number, since 2×28478236800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28478236800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65769384 + ... + 65769816.

It is an arithmetic number, because the mean of its divisors is an integer number (144092340).

Almost surely, 2^28478236800 is an apocalyptic number.

28478236800 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 28478236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55331458560).

28478236800 is an abundant number, since it is smaller than the sum of its proper divisors (82184680320).

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

28478236800 is a wasteful number, since it uses less digits than its factorization.

28478236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 28478236800 in words is "twenty-eight billion, four hundred seventy-eight million, two hundred thirty-six thousand, eight hundred".