29428960 has 96 divisors (see below), whose sum is σ = 79252992. Its totient is φ = 10222080.

The previous prime is 29428943. The next prime is 29428979. The reversal of 29428960 is 6982492.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 40117 + ... + 40843.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^29428960 is an apocalyptic number.

29428960 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 29428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

29428960 is an abundant number, since it is smaller than the sum of its proper divisors (49824032).

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

29428960 is a wasteful number, since it uses less digits than its factorization.

29428960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 29428960 is about 5424.8465416083. The cubic root of 29428960 is about 308.7391031357.

The spelling of 29428960 in words is "twenty-nine million, four hundred twenty-eight thousand, nine hundred sixty".