29284668 has 72 divisors (see below), whose sum is σ = 85729280. Its totient is φ = 8255520.

The previous prime is 29284667. The next prime is 29284669. The reversal of 29284668 is 86648292.

It is an interprime number because it is at equal distance from previous prime (29284667) and next prime (29284669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29284663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19173 + ... + 20643.

Almost surely, 2^29284668 is an apocalyptic number.

29284668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29284668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42864640).

29284668 is an abundant number, since it is smaller than the sum of its proper divisors (56444612).

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

29284668 is a wasteful number, since it uses less digits than its factorization.

29284668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1562 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 29284668 is about 5411.5310218089. The cubic root of 29284668 is about 308.2336872710.

The spelling of 29284668 in words is "twenty-nine million, two hundred eighty-four thousand, six hundred sixty-eight".