28075622400 has 756 divisors, whose sum is σ = 121701866832. Its totient is φ = 6039797760.

The previous prime is 28075622389. The next prime is 28075622401. The reversal of 28075622400 is 422657082.

28075622400 is a `hidden beast` number, since 28 + 0 + 7 + 5 + 622 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28075622401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1651507192 + ... + 1651507208.

Almost surely, 2^28075622400 is an apocalyptic number.

28075622400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28075622400 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28075622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60850933416).

28075622400 is an abundant number, since it is smaller than the sum of its proper divisors (93626244432).

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

28075622400 is an frugal number, since it uses more digits than its factorization.

28075622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 28075622400 in words is "twenty-eight billion, seventy-five million, six hundred twenty-two thousand, four hundred".