28406246400 has 1320 divisors, whose sum is σ = 127766862080. Its totient is φ = 6091407360.

The previous prime is 28406246359. The next prime is 28406246411. The reversal of 28406246400 is 464260482.

It is a happy number.

28406246400 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 6 + 2 + 4 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 275788749 + ... + 275788851.

Almost surely, 2^28406246400 is an apocalyptic number.

28406246400 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 28406246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63883431040).

28406246400 is an abundant number, since it is smaller than the sum of its proper divisors (99360615680).

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

28406246400 is a wasteful number, since it uses less digits than its factorization.

28406246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 28406246400 in words is "twenty-eight billion, four hundred six million, two hundred forty-six thousand, four hundred".