28225940400 has 900 divisors, whose sum is σ = 123122043792. Its totient is φ = 6163153920.

The previous prime is 28225940399. The next prime is 28225940419. The reversal of 28225940400 is 404952282.

28225940400 is a `hidden beast` number, since 2 + 8 + 22 + 594 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×28225940400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 36514414 + ... + 36515186.

Almost surely, 2^28225940400 is an apocalyptic number.

28225940400 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 28225940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61561021896).

28225940400 is an abundant number, since it is smaller than the sum of its proper divisors (94896103392).

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

28225940400 is a wasteful number, since it uses less digits than its factorization.

28225940400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 28225940400 in words is "twenty-eight billion, two hundred twenty-five million, nine hundred forty thousand, four hundred".