28407973440 has 1344 divisors, whose sum is σ = 124533964800. Its totient is φ = 5464166400.

The previous prime is 28407973421. The next prime is 28407973459. The reversal of 28407973440 is 4437970482.

It is an interprime number because it is at equal distance from previous prime (28407973421) and next prime (28407973459).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28407973440.

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 191 ways as a sum of consecutive naturals, for example, 916386225 + ... + 916386255.

It is an arithmetic number, because the mean of its divisors is an integer number (92659200).

Almost surely, 2^28407973440 is an apocalyptic number.

28407973440 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 28407973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62266982400).

28407973440 is an abundant number, since it is smaller than the sum of its proper divisors (96125991360).

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

28407973440 is a wasteful number, since it uses less digits than its factorization.

28407973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 28407973440 in words is "twenty-eight billion, four hundred seven million, nine hundred seventy-three thousand, four hundred forty".