29928286080 has 1024 divisors, whose sum is σ = 134236569600. Its totient is φ = 6121267200.

The previous prime is 29928286051. The next prime is 29928286093. The reversal of 29928286080 is 8068282992.

29928286080 is a `hidden beast` number, since 2 + 9 + 9 + 2 + 8 + 28 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110436345 + ... + 110436615.

It is an arithmetic number, because the mean of its divisors is an integer number (131090400).

Almost surely, 2^29928286080 is an apocalyptic number.

29928286080 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 29928286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67118284800).

29928286080 is an abundant number, since it is smaller than the sum of its proper divisors (104308283520).

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

29928286080 is a wasteful number, since it uses less digits than its factorization.

29928286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 29928286080 in words is "twenty-nine billion, nine hundred twenty-eight million, two hundred eighty-six thousand, eighty".