28612386000 has 960 divisors, whose sum is σ = 117317491200. Its totient is φ = 6652800000.

The previous prime is 28612385999. The next prime is 28612386013. The reversal of 28612386000 is 68321682.

28612386000 is a `hidden beast` number, since 2 + 8 + 6 + 12 + 38 + 600 + 0 = 666.

It is a super-2 number, since 2×28612386000² (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 191 ways as a sum of consecutive naturals, for example, 189485925 + ... + 189486075.

It is an arithmetic number, because the mean of its divisors is an integer number (122205720).

Almost surely, 2^28612386000 is an apocalyptic number.

28612386000 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 28612386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58658745600).

28612386000 is an abundant number, since it is smaller than the sum of its proper divisors (88705105200).

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

28612386000 is a wasteful number, since it uses less digits than its factorization.

28612386000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 28612386000 in words is "twenty-eight billion, six hundred twelve million, three hundred eighty-six thousand".