29289120 has 192 divisors, whose sum is σ = 110315520. Its totient is φ = 6386688.

The previous prime is 29289103. The next prime is 29289137. The reversal of 29289120 is 2198292.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29289103) and next prime (29289137).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77091 + ... + 77469.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 2^29289120 is an apocalyptic number.

29289120 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 29289120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

29289120 is an abundant number, since it is smaller than the sum of its proper divisors (81026400).

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

29289120 is a wasteful number, since it uses less digits than its factorization.

29289120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 29289120 is about 5411.9423500255. The cubic root of 29289120 is about 308.2493062159.

The spelling of 29289120 in words is "twenty-nine million, two hundred eighty-nine thousand, one hundred twenty".