29728560 has 80 divisors (see below), whose sum is σ = 93181536. Its totient is φ = 7839744.

The previous prime is 29728553. The next prime is 29728561. The reversal of 29728560 is 6582792.

It is a happy number.

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 (29728561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22642 + ... + 23918.

Almost surely, 2^29728560 is an apocalyptic number.

29728560 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 29728560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46590768).

29728560 is an abundant number, since it is smaller than the sum of its proper divisors (63452976).

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

29728560 is a wasteful number, since it uses less digits than its factorization.

29728560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 29728560 is about 5452.3903015100. The cubic root of 29728560 is about 309.7832685596.

The spelling of 29728560 in words is "twenty-nine million, seven hundred twenty-eight thousand, five hundred sixty".