29828601 has 32 divisors (see below), whose sum is σ = 48960000. Its totient is φ = 17796240.

The previous prime is 29828593. The next prime is 29828609. The reversal of 29828601 is 10682892.

29828601 is a `hidden beast` number, since 29 + 8 + 28 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (29828593) and next prime (29828609).

It is not a de Polignac number, because 29828601 - 2³ = 29828593 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29828609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19150 + ... + 20648.

It is an arithmetic number, because the mean of its divisors is an integer number (1530000).

Almost surely, 2^29828601 is an apocalyptic number.

It is an amenable number.

29828601 is a deficient number, since it is larger than the sum of its proper divisors (19131399).

29828601 is a wasteful number, since it uses less digits than its factorization.

29828601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 29828601 is about 5461.5566462319. The cubic root of 29828601 is about 310.1303683371.

The spelling of 29828601 in words is "twenty-nine million, eight hundred twenty-eight thousand, six hundred one".