28758338400 has 288 divisors, whose sum is σ = 103418380800. Its totient is φ = 6882969600.

The previous prime is 28758338387. The next prime is 28758338417. The reversal of 28758338400 is 483385782.

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 28758338400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2078706 + ... + 2092494.

It is an arithmetic number, because the mean of its divisors is an integer number (359091600).

Almost surely, 2^28758338400 is an apocalyptic number.

28758338400 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 28758338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51709190400).

28758338400 is an abundant number, since it is smaller than the sum of its proper divisors (74660042400).

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

28758338400 is a wasteful number, since it uses less digits than its factorization.

28758338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13902 (or 13889 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 28758338400 in words is "twenty-eight billion, seven hundred fifty-eight million, three hundred thirty-eight thousand, four hundred".