28178684400 has 120 divisors (see below), whose sum is σ = 90374823280. Its totient is φ = 7505233920.

The previous prime is 28178684399. The next prime is 28178684411. The reversal of 28178684400 is 448687182.

It is a tau number, because it is divible by the number of its divisors (120).

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 28178684400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009836 + ... + 1037364.

Almost surely, 2^28178684400 is an apocalyptic number.

28178684400 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 28178684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45187411640).

28178684400 is an abundant number, since it is smaller than the sum of its proper divisors (62196138880).

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

28178684400 is a wasteful number, since it uses less digits than its factorization.

28178684400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28403 (or 28392 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 28178684400 in words is "twenty-eight billion, one hundred seventy-eight million, six hundred eighty-four thousand, four hundred".