28295654400 has 1056 divisors, whose sum is σ = 115989242880. Its totient is φ = 6715146240.

The previous prime is 28295654393. The next prime is 28295654419. The reversal of 28295654400 is 445659282.

28295654400 is a `hidden beast` number, since 2 + 82 + 9 + 565 + 4 + 4 + 0 + 0 = 666.

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, 422323167 + ... + 422323233.

Almost surely, 2^28295654400 is an apocalyptic number.

28295654400 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 28295654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57994621440).

28295654400 is an abundant number, since it is smaller than the sum of its proper divisors (87693588480).

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

28295654400 is a wasteful number, since it uses less digits than its factorization.

28295654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 28295654400 in words is "twenty-eight billion, two hundred ninety-five million, six hundred fifty-four thousand, four hundred".