28935096400 has 240 divisors, whose sum is σ = 80982316800. Its totient is φ = 9730990080.

The previous prime is 28935096367. The next prime is 28935096401. The reversal of 28935096400 is 469053982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28935096401) 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, 34487181 + ... + 34488019.

It is an arithmetic number, because the mean of its divisors is an integer number (337426320).

Almost surely, 2^28935096400 is an apocalyptic number.

28935096400 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 28935096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40491158400).

28935096400 is an abundant number, since it is smaller than the sum of its proper divisors (52047220400).

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

28935096400 is a wasteful number, since it uses less digits than its factorization.

28935096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 28935096400 in words is "twenty-eight billion, nine hundred thirty-five million, ninety-six thousand, four hundred".