28823303658240 has 1440 divisors, whose sum is σ = 129332700072576. Its totient is φ = 5966553415680.

The previous prime is 28823303658169. The next prime is 28823303658269. The reversal of 28823303658240 is 4285630332882.

28823303658240 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 3 + 30 + 365 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×28823303658240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 500019820 + ... + 500077460.

Almost surely, 2^{28823303658240} is an apocalyptic number.

28823303658240 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 28823303658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64666350036288).

28823303658240 is an abundant number, since it is smaller than the sum of its proper divisors (100509396414336).

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

28823303658240 is a wasteful number, since it uses less digits than its factorization.

28823303658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57747 (or 57724 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 28823303658240 in words is "twenty-eight trillion, eight hundred twenty-three billion, three hundred three million, six hundred fifty-eight thousand, two hundred forty".