29042928 has 160 divisors (see below), whose sum is σ = 90470400. Its totient is φ = 8895744.

The previous prime is 29042911. The next prime is 29042947. The reversal of 29042928 is 82924092.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 29042892 and 29042901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367593 + ... + 367671.

It is an arithmetic number, because the mean of its divisors is an integer number (565440).

Almost surely, 2^29042928 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 29042928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45235200).

29042928 is an abundant number, since it is smaller than the sum of its proper divisors (61427472).

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

29042928 is a wasteful number, since it uses less digits than its factorization.

29042928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 29042928 is about 5389.1490979560. The cubic root of 29042928 is about 307.3832037101.

It can be divided in two parts, 2904 and 2928, that added together give a cube (5832 = 18³).

The spelling of 29042928 in words is "twenty-nine million, forty-two thousand, nine hundred twenty-eight".