29200896 has 60 divisors (see below), whose sum is σ = 84289062. Its totient is φ = 9732096.

The previous prime is 29200889. The next prime is 29200903. The reversal of 29200896 is 69800292.

It is an interprime number because it is at equal distance from previous prime (29200889) and next prime (29200903).

It can be written as a sum of positive squares in only one way, i.e., 26378496 + 2822400 = 5136^2 + 1680^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 29200896.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1440 + ... + 7776.

Almost surely, 2^29200896 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 29200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42144531).

29200896 is an abundant number, since it is smaller than the sum of its proper divisors (55088166).

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

29200896 is an equidigital number, since it uses as much as digits as its factorization.

29200896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 29200896 is about 5403.7853399261. The cubic root of 29200896 is about 307.9394944958.

The spelling of 29200896 in words is "twenty-nine million, two hundred thousand, eight hundred ninety-six".