28695168000 has 1056 divisors, whose sum is σ = 116798872320. Its totient is φ = 6934118400.

The previous prime is 28695167993. The next prime is 28695168013. The reversal of 28695168000 is 86159682.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1247615989 + ... + 1247616011.

Almost surely, 2^28695168000 is an apocalyptic number.

28695168000 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 28695168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58399436160).

28695168000 is an abundant number, since it is smaller than the sum of its proper divisors (88103704320).

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

28695168000 is a wasteful number, since it uses less digits than its factorization.

28695168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 28695168000 in words is "twenty-eight billion, six hundred ninety-five million, one hundred sixty-eight thousand".