28446125760 has 336 divisors, whose sum is σ = 108772634880. Its totient is φ = 6775971840.

The previous prime is 28446125749. The next prime is 28446125761. The reversal of 28446125760 is 6752164482.

28446125760 is a `hidden beast` number, since 2 + 84 + 461 + 2 + 57 + 60 = 666.

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 (28446125761) 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, 1148386 + ... + 1172894.

It is an arithmetic number, because the mean of its divisors is an integer number (323728080).

Almost surely, 2^28446125760 is an apocalyptic number.

28446125760 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 28446125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54386317440).

28446125760 is an abundant number, since it is smaller than the sum of its proper divisors (80326509120).

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

28446125760 is a wasteful number, since it uses less digits than its factorization.

28446125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24576 (or 24563 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 28446125760 in words is "twenty-eight billion, four hundred forty-six million, one hundred twenty-five thousand, seven hundred sixty".