29057952 has 96 divisors (see below), whose sum is σ = 95122944. Its totient is φ = 7545600.

The previous prime is 29057909. The next prime is 29057969. The reversal of 29057952 is 25975092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 29057952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5427 + ... + 9357.

It is an arithmetic number, because the mean of its divisors is an integer number (990864).

Almost surely, 2^29057952 is an apocalyptic number.

29057952 is a gapful number since it is divisible by the number (22) 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 29057952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47561472).

29057952 is an abundant number, since it is smaller than the sum of its proper divisors (66064992).

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

29057952 is a wasteful number, since it uses less digits than its factorization.

29057952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 29057952 is about 5390.5428298085. The cubic root of 29057952 is about 307.4361980128.

The spelling of 29057952 in words is "twenty-nine million, fifty-seven thousand, nine hundred fifty-two".