29050920 has 128 divisors (see below), whose sum is σ = 99590400. Its totient is φ = 7527168.

The previous prime is 29050897. The next prime is 29050921. The reversal of 29050920 is 2905092.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (29050921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39597 + ... + 40323.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 2^29050920 is an apocalyptic number.

29050920 is a gapful number since it is divisible by the number (20) 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 29050920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795200).

29050920 is an abundant number, since it is smaller than the sum of its proper divisors (70539480).

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

29050920 is a wasteful number, since it uses less digits than its factorization.

29050920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 29050920 is about 5389.8905369219. The cubic root of 29050920 is about 307.4113962447.

The spelling of 29050920 in words is "twenty-nine million, fifty thousand, nine hundred twenty".