28629838080 has 216 divisors, whose sum is σ = 99354036600. Its totient is φ = 7611678720.

The previous prime is 28629838073. The next prime is 28629838093. The reversal of 28629838080 is 8083892682.

28629838080 is a `hidden beast` number, since 2 + 8 + 629 + 8 + 3 + 8 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 454201344 + 28175636736 = 21312^2 + 167856^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4016920 + ... + 4024040.

Almost surely, 2^28629838080 is an apocalyptic number.

28629838080 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 28629838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49677018300).

28629838080 is an abundant number, since it is smaller than the sum of its proper divisors (70724198520).

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

28629838080 is a wasteful number, since it uses less digits than its factorization.

28629838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7497 (or 7480 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 28629838080 in words is "twenty-eight billion, six hundred twenty-nine million, eight hundred thirty-eight thousand, eighty".