28280710400 has 108 divisors (see below), whose sum is σ = 74117060892. Its totient is φ = 10646814720.

The previous prime is 28280710387. The next prime is 28280710429. The reversal of 28280710400 is 401708282.

It can be written as a sum of positive squares in 6 ways, for example, as 3889767424 + 24390942976 = 62368^2 + 156176^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21167 + ... + 238766.

Almost surely, 2^28280710400 is an apocalyptic number.

28280710400 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 28280710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37058530446).

28280710400 is an abundant number, since it is smaller than the sum of its proper divisors (45836350492).

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

28280710400 is a wasteful number, since it uses less digits than its factorization.

28280710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259976 (or 259957 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The spelling of 28280710400 in words is "twenty-eight billion, two hundred eighty million, seven hundred ten thousand, four hundred".