29628928 has 60 divisors (see below), whose sum is σ = 68923602. Its totient is φ = 12687360.

The previous prime is 29628919. The next prime is 29628953. The reversal of 29628928 is 82982692.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 19079424 + 10549504 = 4368^2 + 3248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24498 + ... + 25678.

Almost surely, 2^29628928 is an apocalyptic number.

29628928 is a gapful number since it is divisible by the number (28) 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 29628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34461801).

29628928 is an abundant number, since it is smaller than the sum of its proper divisors (39294674).

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

29628928 is an equidigital number, since it uses as much as digits as its factorization.

29628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1190 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The square root of 29628928 is about 5443.2460903398. The cubic root of 29628928 is about 309.4368130477.

The spelling of 29628928 in words is "twenty-nine million, six hundred twenty-eight thousand, nine hundred twenty-eight".