28350226800 has 1680 divisors, whose sum is σ = 133103266560. Its totient is φ = 5643509760.

The previous prime is 28350226777. The next prime is 28350226813. The reversal of 28350226800 is 862205382.

28350226800 is a `hidden beast` number, since 2 + 8 + 350 + 226 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×28350226800² (a number of 22 digits) contains 22 as substring.

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 335 ways as a sum of consecutive naturals, for example, 659307579 + ... + 659307621.

Almost surely, 2^28350226800 is an apocalyptic number.

28350226800 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 28350226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66551633280).

28350226800 is an abundant number, since it is smaller than the sum of its proper divisors (104753039760).

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

28350226800 is a wasteful number, since it uses less digits than its factorization.

28350226800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 28350226800 in words is "twenty-eight billion, three hundred fifty million, two hundred twenty-six thousand, eight hundred".