28713385440 has 384 divisors, whose sum is σ = 105059082240. Its totient is φ = 7407106560.

The previous prime is 28713385429. The next prime is 28713385453. The reversal of 28713385440 is 4458331782.

28713385440 is a `hidden beast` number, since 2 + 8 + 71 + 3 + 38 + 544 + 0 = 666.

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

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, 10846197 + ... + 10848843.

It is an arithmetic number, because the mean of its divisors is an integer number (273591360).

Almost surely, 2^28713385440 is an apocalyptic number.

28713385440 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 28713385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52529541120).

28713385440 is an abundant number, since it is smaller than the sum of its proper divisors (76345696800).

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

28713385440 is an equidigital number, since it uses as much as digits as its factorization.

28713385440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2688 counting only the distinct ones).

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

The spelling of 28713385440 in words is "twenty-eight billion, seven hundred thirteen million, three hundred eighty-five thousand, four hundred forty".