28241868000 has 384 divisors, whose sum is σ = 96814448640. Its totient is φ = 7195968000.

The previous prime is 28241867989. The next prime is 28241868037. The reversal of 28241868000 is 86814282.

It is a self number, because there is not a number n which added to its sum of digits gives 28241868000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357491961 + ... + 357492039.

It is an arithmetic number, because the mean of its divisors is an integer number (252120960).

Almost surely, 2^28241868000 is an apocalyptic number.

28241868000 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 28241868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48407224320).

28241868000 is an abundant number, since it is smaller than the sum of its proper divisors (68572580640).

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

28241868000 is an frugal number, since it uses more digits than its factorization.

28241868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 28241868000 in words is "twenty-eight billion, two hundred forty-one million, eight hundred sixty-eight thousand".