29982888 has 96 divisors (see below), whose sum is σ = 88583040. Its totient is φ = 9106560.

The previous prime is 29982877. The next prime is 29982899. The reversal of 29982888 is 88828992.

It is an interprime number because it is at equal distance from previous prime (29982877) and next prime (29982899).

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

Its product of digits (1327104) is a multiple of the sum of its prime divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96253 + ... + 96563.

It is an arithmetic number, because the mean of its divisors is an integer number (922740).

Almost surely, 2^29982888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29982888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44291520).

29982888 is an abundant number, since it is smaller than the sum of its proper divisors (58600152).

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

29982888 is a wasteful number, since it uses less digits than its factorization.

29982888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 29982888 is about 5475.6632474980. The cubic root of 29982888 is about 310.6641605116.

It can be divided in two parts, 2998 and 2888, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 29982888 in words is "twenty-nine million, nine hundred eighty-two thousand, eight hundred eighty-eight".