29657152 has 70 divisors (see below), whose sum is σ = 69011038. Its totient is φ = 12644352.

The previous prime is 29657149. The next prime is 29657161. The reversal of 29657152 is 25175692.

It can be written as a sum of positive squares in only one way, i.e., 22127616 + 7529536 = 4704^2 + 2744^2 .

It is a super-2 number, since 2×29657152² = 1759093329502208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153568 + ... + 153760.

Almost surely, 2^29657152 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 29657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34505519).

29657152 is an abundant number, since it is smaller than the sum of its proper divisors (39353886).

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

29657152 is an frugal number, since it uses more digits than its factorization.

29657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 202 counting only the distinct ones).

The product of its digits is 37800, while the sum is 37.

The square root of 29657152 is about 5445.8380438643. The cubic root of 29657152 is about 309.5350365692.

The spelling of 29657152 in words is "twenty-nine million, six hundred fifty-seven thousand, one hundred fifty-two".