29227968 has 168 divisors, whose sum is σ = 104607360. Its totient is φ = 7580160.

The previous prime is 29227949. The next prime is 29227973. The reversal of 29227968 is 86972292.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×29227968² = 1708548226818048, which contains 22 as substring.

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

It is a congruent number.

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, 44023 + ... + 44681.

Almost surely, 2^29227968 is an apocalyptic number.

29227968 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 29227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52303680).

29227968 is an abundant number, since it is smaller than the sum of its proper divisors (75379392).

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

29227968 is a wasteful number, since it uses less digits than its factorization.

29227968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 682 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 29227968 is about 5406.2896703747. The cubic root of 29227968 is about 308.0346281413.

The spelling of 29227968 in words is "twenty-nine million, two hundred twenty-seven thousand, nine hundred sixty-eight".