29428672 has 112 divisors (see below), whose sum is σ = 74647552. Its totient is φ = 11197440.

The previous prime is 29428667. The next prime is 29428691. The reversal of 29428672 is 27682492.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (96768) is a multiple of the sum of its prime divisors (216).

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, 180463 + ... + 180625.

It is an arithmetic number, because the mean of its divisors is an integer number (666496).

Almost surely, 2^29428672 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 29428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37323776).

29428672 is an abundant number, since it is smaller than the sum of its proper divisors (45218880).

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

29428672 is a wasteful number, since it uses less digits than its factorization.

29428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 29428672 is about 5424.8199970137. The cubic root of 29428672 is about 308.7380959968.

The spelling of 29428672 in words is "twenty-nine million, four hundred twenty-eight thousand, six hundred seventy-two".