29890432 has 128 divisors (see below), whose sum is σ = 74027520. Its totient is φ = 11827200.

The previous prime is 29890429. The next prime is 29890447. The reversal of 29890432 is 23409892.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 29890391 and 29890400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420957 + ... + 421027.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 2^29890432 is an apocalyptic number.

29890432 is a gapful number since it is divisible by the number (22) 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 29890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

29890432 is an abundant number, since it is smaller than the sum of its proper divisors (44137088).

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

29890432 is a wasteful number, since it uses less digits than its factorization.

29890432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 29890432 is about 5467.2142815149. The cubic root of 29890432 is about 310.3445077403.

The spelling of 29890432 in words is "twenty-nine million, eight hundred ninety thousand, four hundred thirty-two".