28949578323120 has 3600 divisors, whose sum is σ = 133422546660480. Its totient is φ = 5763152166912.

The previous prime is 28949578323119. The next prime is 28949578323161. The reversal of 28949578323120 is 2132387594982.

28949578323120 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 9 + 578 + 3 + 2 + 31 + 20 = 666.

It is a super-2 number, since 2×28949578323120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 265592461626 + ... + 265592461734.

Almost surely, 2^{28949578323120} is an apocalyptic number.

28949578323120 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 28949578323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66711273330240).

28949578323120 is an abundant number, since it is smaller than the sum of its proper divisors (104472968337360).

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

28949578323120 is a wasteful number, since it uses less digits than its factorization.

28949578323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 28949578323120 in words is "twenty-eight trillion, nine hundred forty-nine billion, five hundred seventy-eight million, three hundred twenty-three thousand, one hundred twenty".