28641800880 has 800 divisors, whose sum is σ = 125226984960. Its totient is φ = 5894000640.

The previous prime is 28641800879. The next prime is 28641800897. The reversal of 28641800880 is 8800814682.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68357311 + ... + 68357729.

Almost surely, 2^28641800880 is an apocalyptic number.

28641800880 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 28641800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62613492480).

28641800880 is an abundant number, since it is smaller than the sum of its proper divisors (96585184080).

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

28641800880 is a wasteful number, since it uses less digits than its factorization.

28641800880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 28641800880 in words is "twenty-eight billion, six hundred forty-one million, eight hundred thousand, eight hundred eighty".