29056456 has 48 divisors (see below), whose sum is σ = 64518300. Its totient is φ = 12186240.

The previous prime is 29056441. The next prime is 29056471. The reversal of 29056456 is 65465092.

It is an interprime number because it is at equal distance from previous prime (29056441) and next prime (29056471).

It can be written as a sum of positive squares in 2 ways, for example, as 29052100 + 4356 = 5390^2 + 66^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11430 + ... + 13738.

Almost surely, 2^29056456 is an apocalyptic number.

29056456 is a gapful number since it is divisible by the number (26) 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 29056456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32259150).

29056456 is an abundant number, since it is smaller than the sum of its proper divisors (35461844).

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

29056456 is a wasteful number, since it uses less digits than its factorization.

With its successor (29056457) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2335).

29056456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 29056456 is about 5390.4040664870. The cubic root of 29056456 is about 307.4309219763.

The spelling of 29056456 in words is "twenty-nine million, fifty-six thousand, four hundred fifty-six".