28829122560 has 1024 divisors, whose sum is σ = 125827200000. Its totient is φ = 6242697216.

The previous prime is 28829122559. The next prime is 28829122561. The reversal of 28829122560 is 6522192882.

28829122560 is a `hidden beast` number, since 2 + 8 + 82 + 9 + 1 + 2 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (28829122559) and next prime (28829122561).

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×28829122560² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28829122561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1517322231 + ... + 1517322249.

It is an arithmetic number, because the mean of its divisors is an integer number (122878125).

Almost surely, 2^28829122560 is an apocalyptic number.

28829122560 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 28829122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62913600000).

28829122560 is an abundant number, since it is smaller than the sum of its proper divisors (96998077440).

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

28829122560 is an frugal number, since it uses more digits than its factorization.

28829122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 28829122560 in words is "twenty-eight billion, eight hundred twenty-nine million, one hundred twenty-two thousand, five hundred sixty".