29084952 has 64 divisors (see below), whose sum is σ = 79440480. Its totient is φ = 8819712.

The previous prime is 29084917. The next prime is 29084971. The reversal of 29084952 is 25948092.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 29084952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22138 + ... + 23414.

Almost surely, 2^29084952 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 29084952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39720240).

29084952 is an abundant number, since it is smaller than the sum of its proper divisors (50355528).

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

29084952 is a wasteful number, since it uses less digits than its factorization.

29084952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 29084952 is about 5393.0466343246. The cubic root of 29084952 is about 307.5313894852.

The spelling of 29084952 in words is "twenty-nine million, eighty-four thousand, nine hundred fifty-two".