29768244 has 48 divisors (see below), whose sum is σ = 77036736. Its totient is φ = 8870400.

The previous prime is 29768243. The next prime is 29768257. The reversal of 29768244 is 44286792.

It is a super-2 number, since 2×29768244² = 1772296701687072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29768196 and 29768205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29768243) 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, 6204 + ... + 9900.

It is an arithmetic number, because the mean of its divisors is an integer number (1604932).

Almost surely, 2^29768244 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 29768244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38518368).

29768244 is an abundant number, since it is smaller than the sum of its proper divisors (47268492).

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

29768244 is a wasteful number, since it uses less digits than its factorization.

29768244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3774 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 29768244 is about 5456.0282257334. The cubic root of 29768244 is about 309.9210482256.

The spelling of 29768244 in words is "twenty-nine million, seven hundred sixty-eight thousand, two hundred forty-four".