28295958240 has 576 divisors, whose sum is σ = 111803328000. Its totient is φ = 6444748800.

The previous prime is 28295958209. The next prime is 28295958293. The reversal of 28295958240 is 4285959282.

It is a happy number.

28295958240 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 59 + 582 + 4 + 0 = 666.

It is a super-2 number, since 2×28295958240² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44842725 + ... + 44843355.

It is an arithmetic number, because the mean of its divisors is an integer number (194103000).

Almost surely, 2^28295958240 is an apocalyptic number.

28295958240 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 28295958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55901664000).

28295958240 is an abundant number, since it is smaller than the sum of its proper divisors (83507369760).

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

28295958240 is a wasteful number, since it uses less digits than its factorization.

28295958240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 28295958240 in words is "twenty-eight billion, two hundred ninety-five million, nine hundred fifty-eight thousand, two hundred forty".