29408028 has 72 divisors (see below), whose sum is σ = 78766128. Its totient is φ = 8506368.

The previous prime is 29408023. The next prime is 29408051. The reversal of 29408028 is 82080492.

It is a super-2 number, since 2×29408028² = 1729664221697568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29408028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29408023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34050 + ... + 34902.

It is an arithmetic number, because the mean of its divisors is an integer number (1093974).

Almost surely, 2^29408028 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 29408028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39383064).

29408028 is an abundant number, since it is smaller than the sum of its proper divisors (49358100).

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

29408028 is a wasteful number, since it uses less digits than its factorization.

29408028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 29408028 is about 5422.9169272634. The cubic root of 29408028 is about 308.6658865975.

The spelling of 29408028 in words is "twenty-nine million, four hundred eight thousand, twenty-eight".