28830522240 has 256 divisors, whose sum is σ = 109963425600. Its totient is φ = 7096688640.

The previous prime is 28830522199. The next prime is 28830522247. The reversal of 28830522240 is 4222503882.

28830522240 is a `hidden beast` number, since 2 + 88 + 30 + 522 + 24 + 0 = 666.

It is a super-2 number, since 2×28830522240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28830522195 and 28830522204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28830522247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160470 + ... + 288810.

Almost surely, 2^28830522240 is an apocalyptic number.

28830522240 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 28830522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54981712800).

28830522240 is an abundant number, since it is smaller than the sum of its proper divisors (81132903360).

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

28830522240 is a wasteful number, since it uses less digits than its factorization.

28830522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128382 (or 128364 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 28830522240 in words is "twenty-eight billion, eight hundred thirty million, five hundred twenty-two thousand, two hundred forty".