28751763456 has 768 divisors, whose sum is σ = 100387123200. Its totient is φ = 8058175488.

The previous prime is 28751763437. The next prime is 28751763461. The reversal of 28751763456 is 65436715782.

28751763456 is a `hidden beast` number, since 2 + 87 + 51 + 7 + 63 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 611739625 + ... + 611739671.

It is an arithmetic number, because the mean of its divisors is an integer number (130712400).

Almost surely, 2^28751763456 is an apocalyptic number.

28751763456 is a gapful number since it is divisible by the number (26) 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 28751763456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50193561600).

28751763456 is an abundant number, since it is smaller than the sum of its proper divisors (71635359744).

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

28751763456 is a wasteful number, since it uses less digits than its factorization.

28751763456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 28751763456 in words is "twenty-eight billion, seven hundred fifty-one million, seven hundred sixty-three thousand, four hundred fifty-six".