28098201600 has 864 divisors, whose sum is σ = 119137374720. Its totient is φ = 6193152000.

The previous prime is 28098201553. The next prime is 28098201701. The reversal of 28098201600 is 610289082.

28098201600 is a `hidden beast` number, since 28 + 0 + 9 + 8 + 20 + 1 + 600 = 666.

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

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, 99993460 + ... + 99993740.

It is an arithmetic number, because the mean of its divisors is an integer number (137890480).

Almost surely, 2^28098201600 is an apocalyptic number.

28098201600 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 28098201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59568687360).

28098201600 is an abundant number, since it is smaller than the sum of its proper divisors (91039173120).

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

28098201600 is a wasteful number, since it uses less digits than its factorization.

28098201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 28098201600 in words is "twenty-eight billion, ninety-eight million, two hundred one thousand, six hundred".