28741204800 has 1512 divisors, whose sum is σ = 135854846400. Its totient is φ = 5712537600.

The previous prime is 28741204787. The next prime is 28741204813. The reversal of 28741204800 is 840214782.

It is an interprime number because it is at equal distance from previous prime (28741204787) and next prime (28741204813).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1249617589 + ... + 1249617611.

Almost surely, 2^28741204800 is an apocalyptic number.

28741204800 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 28741204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67927423200).

28741204800 is an abundant number, since it is smaller than the sum of its proper divisors (107113641600).

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

28741204800 is a wasteful number, since it uses less digits than its factorization.

28741204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 28741204800 in words is "twenty-eight billion, seven hundred forty-one million, two hundred four thousand, eight hundred".