28349792640 has 1280 divisors, whose sum is σ = 119431065600. Its totient is φ = 6350192640.

The previous prime is 28349792633. The next prime is 28349792683. The reversal of 28349792640 is 4629794382.

28349792640 is a `hidden beast` number, since 2 + 8 + 3 + 497 + 92 + 64 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 480504931 + ... + 480504989.

It is an arithmetic number, because the mean of its divisors is an integer number (93305520).

Almost surely, 2^28349792640 is an apocalyptic number.

28349792640 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 28349792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59715532800).

28349792640 is an abundant number, since it is smaller than the sum of its proper divisors (91081272960).

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

28349792640 is a wasteful number, since it uses less digits than its factorization.

28349792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 28349792640 in words is "twenty-eight billion, three hundred forty-nine million, seven hundred ninety-two thousand, six hundred forty".