28151366400 has 432 divisors, whose sum is σ = 104314885920. Its totient is φ = 7428096000.

The previous prime is 28151366357. The next prime is 28151366407. The reversal of 28151366400 is 466315182.

It is a happy number.

28151366400 is a `hidden beast` number, since 2 + 8 + 1 + 5 + 1 + 3 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (28151366407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17451994 + ... + 17453606.

Almost surely, 2^28151366400 is an apocalyptic number.

28151366400 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 28151366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52157442960).

28151366400 is an abundant number, since it is smaller than the sum of its proper divisors (76163519520).

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

28151366400 is a wasteful number, since it uses less digits than its factorization.

28151366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 28151366400 in words is "twenty-eight billion, one hundred fifty-one million, three hundred sixty-six thousand, four hundred".