28714608000 has 512 divisors, whose sum is σ = 113923555200. Its totient is φ = 7066828800.

The previous prime is 28714607993. The next prime is 28714608007. The reversal of 28714608000 is 80641782.

It is an interprime number because it is at equal distance from previous prime (28714607993) and next prime (28714608007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28714608007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5613444 + ... + 5618556.

Almost surely, 2^28714608000 is an apocalyptic number.

28714608000 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 28714608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56961777600).

28714608000 is an abundant number, since it is smaller than the sum of its proper divisors (85208947200).

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

28714608000 is a wasteful number, since it uses less digits than its factorization.

28714608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 28714608000 in words is "twenty-eight billion, seven hundred fourteen million, six hundred eight thousand".