28460539800 has 1152 divisors, whose sum is σ = 129360291840. Its totient is φ = 5426380800.

The previous prime is 28460539777. The next prime is 28460539949. The reversal of 28460539800 is 893506482.

28460539800 is a `hidden beast` number, since 2 + 8 + 4 + 605 + 39 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 110741272 + ... + 110741528.

It is an arithmetic number, because the mean of its divisors is an integer number (112291920).

Almost surely, 2^28460539800 is an apocalyptic number.

28460539800 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 28460539800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64680145920).

28460539800 is an abundant number, since it is smaller than the sum of its proper divisors (100899752040).

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

28460539800 is a wasteful number, since it uses less digits than its factorization.

28460539800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 28460539800 in words is "twenty-eight billion, four hundred sixty million, five hundred thirty-nine thousand, eight hundred".