29942528 has 144 divisors (see below), whose sum is σ = 78489600. Its totient is φ = 11289600.

The previous prime is 29942503. The next prime is 29942531. The reversal of 29942528 is 82524992.

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, 965873 + ... + 965903.

Almost surely, 2^29942528 is an apocalyptic number.

29942528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29942528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39244800).

29942528 is an abundant number, since it is smaller than the sum of its proper divisors (48547072).

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

29942528 is an equidigital number, since it uses as much as digits as its factorization.

29942528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 51 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 29942528 is about 5471.9766081371. The cubic root of 29942528 is about 310.5247027903.

The spelling of 29942528 in words is "twenty-nine million, nine hundred forty-two thousand, five hundred twenty-eight".