28464403968 has 1280 divisors, whose sum is σ = 120772270080. Its totient is φ = 6423183360.

The previous prime is 28464403879. The next prime is 28464403987. The reversal of 28464403968 is 86930446482.

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 127 ways as a sum of consecutive naturals, for example, 1674376696 + ... + 1674376712.

It is an arithmetic number, because the mean of its divisors is an integer number (94353336).

Almost surely, 2^28464403968 is an apocalyptic number.

28464403968 is a gapful number since it is divisible by the number (28) 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 28464403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60386135040).

28464403968 is an abundant number, since it is smaller than the sum of its proper divisors (92307866112).

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

28464403968 is a wasteful number, since it uses less digits than its factorization.

28464403968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 28464403968 in words is "twenty-eight billion, four hundred sixty-four million, four hundred three thousand, nine hundred sixty-eight".