28340582400 has 1152 divisors, whose sum is σ = 119429856000. Its totient is φ = 6529351680.

The previous prime is 28340582393. The next prime is 28340582467. The reversal of 28340582400 is 428504382.

28340582400 is a `hidden beast` number, since 2 + 8 + 3 + 405 + 8 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×28340582400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341452759 + ... + 341452841.

It is an arithmetic number, because the mean of its divisors is an integer number (103671750).

Almost surely, 2^28340582400 is an apocalyptic number.

28340582400 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 28340582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59714928000).

28340582400 is an abundant number, since it is smaller than the sum of its proper divisors (91089273600).

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

28340582400 is a wasteful number, since it uses less digits than its factorization.

28340582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 28340582400 in words is "twenty-eight billion, three hundred forty million, five hundred eighty-two thousand, four hundred".