29385920 has 56 divisors (see below), whose sum is σ = 70609968. Its totient is φ = 11648000.

The previous prime is 29385907. The next prime is 29385943. The reversal of 29385920 is 2958392.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41570 + ... + 42270.

Almost surely, 2^29385920 is an apocalyptic number.

29385920 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 29385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35304984).

29385920 is an abundant number, since it is smaller than the sum of its proper divisors (41224048).

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

29385920 is a wasteful number, since it uses less digits than its factorization.

29385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 29385920 is about 5420.8781576420. The cubic root of 29385920 is about 308.5885188784.

The spelling of 29385920 in words is "twenty-nine million, three hundred eighty-five thousand, nine hundred twenty".