29152656 has 160 divisors (see below), whose sum is σ = 93744000. Its totient is φ = 8612352.

The previous prime is 29152639. The next prime is 29152657. The reversal of 29152656 is 65625192.

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

It is a self number, because there is not a number n which added to its sum of digits gives 29152656.

It is not an unprimeable number, because it can be changed into a prime (29152657) by changing a digit.

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, 162775 + ... + 162953.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^29152656 is an apocalyptic number.

29152656 is a gapful number since it is divisible by the number (26) 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 29152656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

29152656 is an abundant number, since it is smaller than the sum of its proper divisors (64591344).

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

29152656 is a wasteful number, since it uses less digits than its factorization.

29152656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 29152656 is about 5399.3199571798. The cubic root of 29152656 is about 307.7698285957.

The spelling of 29152656 in words is "twenty-nine million, one hundred fifty-two thousand, six hundred fifty-six".