28948492800 has 720 divisors, whose sum is σ = 110540862432. Its totient is φ = 7498137600.

The previous prime is 28948492763. The next prime is 28948492817. The reversal of 28948492800 is 829484982.

28948492800 is a `hidden beast` number, since 2 + 89 + 484 + 9 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127526287 + ... + 127526513.

Almost surely, 2^28948492800 is an apocalyptic number.

28948492800 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 28948492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55270431216).

28948492800 is an abundant number, since it is smaller than the sum of its proper divisors (81592369632).

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

28948492800 is an equidigital number, since it uses as much as digits as its factorization.

28948492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 28948492800 in words is "twenty-eight billion, nine hundred forty-eight million, four hundred ninety-two thousand, eight hundred".