29966328 has 64 divisors (see below), whose sum is σ = 95136000. Its totient is φ = 8561376.

The previous prime is 29966323. The next prime is 29966333. The reversal of 29966328 is 82366992.

29966328 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 632 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (29966323) and next prime (29966333).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29966323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8398 + ... + 11421.

It is an arithmetic number, because the mean of its divisors is an integer number (1486500).

Almost surely, 2^29966328 is an apocalyptic number.

29966328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29966328 is an abundant number, since it is smaller than the sum of its proper divisors (65169672).

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

29966328 is a wasteful number, since it uses less digits than its factorization.

29966328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19841 (or 19831 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 29966328 is about 5474.1508930610. The cubic root of 29966328 is about 310.6069551490.

The spelling of 29966328 in words is "twenty-nine million, nine hundred sixty-six thousand, three hundred twenty-eight".