29528880 has 80 divisors (see below), whose sum is σ = 93086304. Its totient is φ = 7741440.

The previous prime is 29528861. The next prime is 29528887. The reversal of 29528880 is 8882592.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (29528887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13632 + ... + 15648.

Almost surely, 2^29528880 is an apocalyptic number.

29528880 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 29528880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46543152).

29528880 is an abundant number, since it is smaller than the sum of its proper divisors (63557424).

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

29528880 is a wasteful number, since it uses less digits than its factorization.

29528880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 29528880 is about 5434.0482147291. The cubic root of 29528880 is about 309.0881285269.

The spelling of 29528880 in words is "twenty-nine million, five hundred twenty-eight thousand, eight hundred eighty".