29628032 has 64 divisors (see below), whose sum is σ = 69115200. Its totient is φ = 12386304.

The previous prime is 29628023. The next prime is 29628041. The reversal of 29628032 is 23082692.

It is an interprime number because it is at equal distance from previous prime (29628023) and next prime (29628041).

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 29628032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38144 + ... + 38912.

It is an arithmetic number, because the mean of its divisors is an integer number (1079925).

Almost surely, 2^29628032 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 29628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34557600).

29628032 is an abundant number, since it is smaller than the sum of its proper divisors (39487168).

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

29628032 is an equidigital number, since it uses as much as digits as its factorization.

29628032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 29628032 is about 5443.1637858878. The cubic root of 29628032 is about 309.4336938193.

The spelling of 29628032 in words is "twenty-nine million, six hundred twenty-eight thousand, thirty-two".