29228561280 has 192 divisors, whose sum is σ = 101264763600. Its totient is φ = 7768424448.

The previous prime is 29228561279. The next prime is 29228561287. The reversal of 29228561280 is 8216582292.

29228561280 is a `hidden beast` number, since 2 + 9 + 2 + 2 + 8 + 561 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (29228561287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1760056 + ... + 1776584.

Almost surely, 2^29228561280 is an apocalyptic number.

29228561280 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 29228561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50632381800).

29228561280 is an abundant number, since it is smaller than the sum of its proper divisors (72036202320).

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

29228561280 is a wasteful number, since it uses less digits than its factorization.

29228561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16861 (or 16846 counting only the distinct ones).

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

The spelling of 29228561280 in words is "twenty-nine billion, two hundred twenty-eight million, five hundred sixty-one thousand, two hundred eighty".