29328480 has 240 divisors, whose sum is σ = 108307584. Its totient is φ = 7464960.

The previous prime is 29328479. The next prime is 29328503. The reversal of 29328480 is 8482392.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×29328480² = 1720319478220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 401724 + ... + 401796.

Almost surely, 2^29328480 is an apocalyptic number.

29328480 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 29328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54153792).

29328480 is an abundant number, since it is smaller than the sum of its proper divisors (78979104).

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

29328480 is a wasteful number, since it uses less digits than its factorization.

29328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 29328480 is about 5415.5775315288. The cubic root of 29328480 is about 308.3873240411.

It can be divided in two parts, 29 and 328480, that added together give a cube (328509 = 69³).

The spelling of 29328480 in words is "twenty-nine million, three hundred twenty-eight thousand, four hundred eighty".