28975619400 has 1536 divisors, whose sum is σ = 129591705600. Its totient is φ = 5175705600.

The previous prime is 28975619371. The next prime is 28975619411. The reversal of 28975619400 is 491657982.

It is a super-2 number, since 2×28975619400² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 546709774 + ... + 546709826.

It is an arithmetic number, because the mean of its divisors is an integer number (84369600).

Almost surely, 2^28975619400 is an apocalyptic number.

28975619400 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 28975619400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64795852800).

28975619400 is an abundant number, since it is smaller than the sum of its proper divisors (100616086200).

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

28975619400 is a wasteful number, since it uses less digits than its factorization.

28975619400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 28975619400 in words is "twenty-eight billion, nine hundred seventy-five million, six hundred nineteen thousand, four hundred".