28763750400 has 912 divisors, whose sum is σ = 124822248960. Its totient is φ = 5662310400.

The previous prime is 28763750371. The next prime is 28763750401. The reversal of 28763750400 is 405736782.

It is a tau number, because it is divible by the number of its divisors (912).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28763750401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1513881591 + ... + 1513881609.

Almost surely, 2^28763750400 is an apocalyptic number.

28763750400 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 28763750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62411124480).

28763750400 is an abundant number, since it is smaller than the sum of its proper divisors (96058498560).

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

28763750400 is an equidigital number, since it uses as much as digits as its factorization.

28763750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 28763750400 in words is "twenty-eight billion, seven hundred sixty-three million, seven hundred fifty thousand, four hundred".