28630279440 has 640 divisors, whose sum is σ = 115749258240. Its totient is φ = 6449725440.

The previous prime is 28630279429. The next prime is 28630279451. The reversal of 28630279440 is 4497203682.

28630279440 is a `hidden beast` number, since 2 + 8 + 630 + 2 + 7 + 9 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28630279429) and next prime (28630279451).

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

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, 118797720 + ... + 118797960.

It is an arithmetic number, because the mean of its divisors is an integer number (180858216).

Almost surely, 2^28630279440 is an apocalyptic number.

28630279440 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 28630279440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57874629120).

28630279440 is an abundant number, since it is smaller than the sum of its proper divisors (87118978800).

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

28630279440 is an equidigital number, since it uses as much as digits as its factorization.

28630279440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 28630279440 in words is "twenty-eight billion, six hundred thirty million, two hundred seventy-nine thousand, four hundred forty".