29379688 has 32 divisors (see below), whose sum is σ = 59933160. Its totient is φ = 13420800.

The previous prime is 29379673. The next prime is 29379709. The reversal of 29379688 is 88697392.

It can be written as a sum of positive squares in 4 ways, for example, as 28536964 + 842724 = 5342^2 + 918^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9106 + ... + 11902.

Almost surely, 2^29379688 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 29379688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29966580).

29379688 is an abundant number, since it is smaller than the sum of its proper divisors (30553472).

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

29379688 is a wasteful number, since it uses less digits than its factorization.

29379688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2913 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 29379688 is about 5420.3033125463. The cubic root of 29379688 is about 308.5667027658.

The spelling of 29379688 in words is "twenty-nine million, three hundred seventy-nine thousand, six hundred eighty-eight".