28707488198400 has 864 divisors, whose sum is σ = 111326634639360. Its totient is φ = 6442039296000.

The previous prime is 28707488198387. The next prime is 28707488198401. The reversal of 28707488198400 is 489188470782.

It is a super-2 number, since 2×28707488198400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28707488198401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150490281 + ... + 150680919.

Almost surely, 2^{28707488198400} is an apocalyptic number.

28707488198400 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 28707488198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55663317319680).

28707488198400 is an abundant number, since it is smaller than the sum of its proper divisors (82619146440960).

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

28707488198400 is a wasteful number, since it uses less digits than its factorization.

28707488198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190733 (or 190714 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 66.

The spelling of 28707488198400 in words is "twenty-eight trillion, seven hundred seven billion, four hundred eighty-eight million, one hundred ninety-eight thousand, four hundred".