29996928 has 96 divisors (see below), whose sum is σ = 93005640. Its totient is φ = 9225216.

The previous prime is 29996921. The next prime is 29996983. The reversal of 29996928 is 82969992.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29996921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13975 + ... + 15977.

Almost surely, 2^29996928 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 29996928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46502820).

29996928 is an abundant number, since it is smaller than the sum of its proper divisors (63008712).

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

29996928 is a wasteful number, since it uses less digits than its factorization.

29996928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2021 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 29996928 is about 5476.9451339227. The cubic root of 29996928 is about 310.7126442131.

The spelling of 29996928 in words is "twenty-nine million, nine hundred ninety-six thousand, nine hundred twenty-eight".