29080728 has 128 divisors (see below), whose sum is σ = 86169600. Its totient is φ = 9072000.

The previous prime is 29080703. The next prime is 29080789. The reversal of 29080728 is 82708092.

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 = 29080692 and 29080701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287878 + ... + 287978.

It is an arithmetic number, because the mean of its divisors is an integer number (673200).

Almost surely, 2^29080728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29080728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43084800).

29080728 is an abundant number, since it is smaller than the sum of its proper divisors (57088872).

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

29080728 is a wasteful number, since it uses less digits than its factorization.

29080728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 29080728 is about 5392.6550047263. The cubic root of 29080728 is about 307.5165011966.

It can be divided in two parts, 290 and 80728, that added together give a palindrome (81018).

The spelling of 29080728 in words is "twenty-nine million, eighty thousand, seven hundred twenty-eight".