28351756800 has 720 divisors, whose sum is σ = 111134529792. Its totient is φ = 6871449600.

The previous prime is 28351756799. The next prime is 28351756801. The reversal of 28351756800 is 865715382.

28351756800 is a `hidden beast` number, since 2 + 8 + 3 + 517 + 56 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28351756799) and next prime (28351756801).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×28351756800² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28351756801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60710167 + ... + 60710633.

Almost surely, 2^28351756800 is an apocalyptic number.

28351756800 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 28351756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55567264896).

28351756800 is an abundant number, since it is smaller than the sum of its proper divisors (82782772992).

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

28351756800 is a wasteful number, since it uses less digits than its factorization.

28351756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 28351756800 in words is "twenty-eight billion, three hundred fifty-one million, seven hundred fifty-six thousand, eight hundred".