29025920 has 256 divisors, whose sum is σ = 94003200. Its totient is φ = 8294400.

The previous prime is 29025917. The next prime is 29025923. The reversal of 29025920 is 2952092.

It is an interprime number because it is at equal distance from previous prime (29025917) and next prime (29025923).

It is not an unprimeable number, because it can be changed into a prime (29025923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 936305 + ... + 936335.

It is an arithmetic number, because the mean of its divisors is an integer number (367200).

Almost surely, 2^29025920 is an apocalyptic number.

29025920 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 29025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47001600).

29025920 is an abundant number, since it is smaller than the sum of its proper divisors (64977280).

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

29025920 is a wasteful number, since it uses less digits than its factorization.

29025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 29025920 is about 5387.5708812043. The cubic root of 29025920 is about 307.3231891644.

The spelling of 29025920 in words is "twenty-nine million, twenty-five thousand, nine hundred twenty".