29157128 has 96 divisors (see below), whose sum is σ = 74182080. Its totient is φ = 10454400.

The previous prime is 29157101. The next prime is 29157157. The reversal of 29157128 is 82175192.

It is a super-2 number, since 2×29157128² = 1700276226416768, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 87923 + ... + 88253.

It is an arithmetic number, because the mean of its divisors is an integer number (772730).

Almost surely, 2^29157128 is an apocalyptic number.

29157128 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 29157128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37091040).

29157128 is an abundant number, since it is smaller than the sum of its proper divisors (45024952).

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

29157128 is a wasteful number, since it uses less digits than its factorization.

29157128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its digits is 10080, while the sum is 35.

The square root of 29157128 is about 5399.7340675259. The cubic root of 29157128 is about 307.7855650270.

The spelling of 29157128 in words is "twenty-nine million, one hundred fifty-seven thousand, one hundred twenty-eight".