29228160 has 128 divisors (see below), whose sum is σ = 100416960. Its totient is φ = 7188480.

The previous prime is 29228141. The next prime is 29228179. The reversal of 29228160 is 6182292.

It is an interprime number because it is at equal distance from previous prime (29228141) and next prime (29228179).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24375 + ... + 25545.

Almost surely, 2^29228160 is an apocalyptic number.

29228160 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 29228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50208480).

29228160 is an abundant number, since it is smaller than the sum of its proper divisors (71188800).

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

29228160 is a wasteful number, since it uses less digits than its factorization.

29228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 29228160 is about 5406.3074274407. The cubic root of 29228160 is about 308.0353026382.

The spelling of 29228160 in words is "twenty-nine million, two hundred twenty-eight thousand, one hundred sixty".