29052864 has 224 divisors, whose sum is σ = 96560640. Its totient is φ = 8515584.

The previous prime is 29052827. The next prime is 29052889. The reversal of 29052864 is 46825092.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675627 + ... + 675669.

Almost surely, 2^29052864 is an apocalyptic number.

29052864 is a gapful number since it is divisible by the number (24) 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 29052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48280320).

29052864 is an abundant number, since it is smaller than the sum of its proper divisors (67507776).

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

29052864 is a wasteful number, since it uses less digits than its factorization.

29052864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 29052864 is about 5390.0708715192. The cubic root of 29052864 is about 307.4182531064.

The spelling of 29052864 in words is "twenty-nine million, fifty-two thousand, eight hundred sixty-four".