29216880 has 480 divisors, whose sum is σ = 133705728. Its totient is φ = 5529600.

The previous prime is 29216857. The next prime is 29216881. The reversal of 29216880 is 8861292.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29216881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 942465 + ... + 942495.

Almost surely, 2^29216880 is an apocalyptic number.

29216880 is a gapful number since it is divisible by the number (20) 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 29216880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66852864).

29216880 is an abundant number, since it is smaller than the sum of its proper divisors (104488848).

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

29216880 is a wasteful number, since it uses less digits than its factorization.

29216880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 29216880 is about 5405.2641008558. The cubic root of 29216880 is about 307.9956709348.

It can be divided in two parts, 2921 and 6880, that added together give a square (9801 = 99²).

The spelling of 29216880 in words is "twenty-nine million, two hundred sixteen thousand, eight hundred eighty".