28364427000 has 768 divisors, whose sum is σ = 120200371200. Its totient is φ = 5873126400.

The previous prime is 28364426971. The next prime is 28364427017. The reversal of 28364427000 is 72446382.

28364427000 is a `hidden beast` number, since 2 + 8 + 3 + 644 + 2 + 7 + 0 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 48320707 + ... + 48321293.

It is an arithmetic number, because the mean of its divisors is an integer number (156510900).

Almost surely, 2^28364427000 is an apocalyptic number.

28364427000 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 28364427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60100185600).

28364427000 is an abundant number, since it is smaller than the sum of its proper divisors (91835944200).

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

28364427000 is a wasteful number, since it uses less digits than its factorization.

28364427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 28364427000 in words is "twenty-eight billion, three hundred sixty-four million, four hundred twenty-seven thousand".