28872405408 has 384 divisors, whose sum is σ = 97051723776. Its totient is φ = 7299072000.

The previous prime is 28872405407. The next prime is 28872405431. The reversal of 28872405408 is 80450427882.

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

It is not an unprimeable number, because it can be changed into a prime (28872405403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48040308 + ... + 48040908.

It is an arithmetic number, because the mean of its divisors is an integer number (252738864).

Almost surely, 2^28872405408 is an apocalyptic number.

28872405408 is a gapful number since it is divisible by the number (28) 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 28872405408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48525861888).

28872405408 is an abundant number, since it is smaller than the sum of its proper divisors (68179318368).

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

28872405408 is a wasteful number, since it uses less digits than its factorization.

28872405408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The spelling of 28872405408 in words is "twenty-eight billion, eight hundred seventy-two million, four hundred five thousand, four hundred eight".