28947844800 has 840 divisors, whose sum is σ = 128827584864. Its totient is φ = 6224117760.

The previous prime is 28947844727. The next prime is 28947844853. The reversal of 28947844800 is 844874982.

28947844800 is a `hidden beast` number, since 2 + 8 + 94 + 78 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15421462 + ... + 15423338.

Almost surely, 2^28947844800 is an apocalyptic number.

28947844800 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 28947844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64413792432).

28947844800 is an abundant number, since it is smaller than the sum of its proper divisors (99879740064).

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

28947844800 is a wasteful number, since it uses less digits than its factorization.

28947844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 28947844800 in words is "twenty-eight billion, nine hundred forty-seven million, eight hundred forty-four thousand, eight hundred".