29293968 has 80 divisors (see below), whose sum is σ = 83476800. Its totient is φ = 8778240.

The previous prime is 29293963. The next prime is 29293981. The reversal of 29293968 is 86939292.

It is a super-2 number, since 2×29293968² = 1716273122370048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29293963) 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, 57298 + ... + 57806.

It is an arithmetic number, because the mean of its divisors is an integer number (1043460).

Almost surely, 2^29293968 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 29293968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41738400).

29293968 is an abundant number, since it is smaller than the sum of its proper divisors (54182832).

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

29293968 is a wasteful number, since it uses less digits than its factorization.

29293968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 29293968 is about 5412.3902298338. The cubic root of 29293968 is about 308.2663126468.

The spelling of 29293968 in words is "twenty-nine million, two hundred ninety-three thousand, nine hundred sixty-eight".