29625728 has 64 divisors (see below), whose sum is σ = 65765520. Its totient is φ = 13178880.

The previous prime is 29625721. The next prime is 29625737. The reversal of 29625728 is 82752692.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29625721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74426 + ... + 74822.

Almost surely, 2^29625728 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 29625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32882760).

29625728 is an abundant number, since it is smaller than the sum of its proper divisors (36139792).

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

29625728 is a wasteful number, since it uses less digits than its factorization.

29625728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 29625728 is about 5442.9521401534. The cubic root of 29625728 is about 309.4256726576.

The spelling of 29625728 in words is "twenty-nine million, six hundred twenty-five thousand, seven hundred twenty-eight".