29129880 has 128 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 7042560.

The previous prime is 29129873. The next prime is 29129897. The reversal of 29129880 is 8892192.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 110629 + ... + 110891.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 2^29129880 is an apocalyptic number.

29129880 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 29129880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

29129880 is an abundant number, since it is smaller than the sum of its proper divisors (66670440).

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

29129880 is a wasteful number, since it uses less digits than its factorization.

29129880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 29129880 is about 5397.2103905629. The cubic root of 29129880 is about 307.6896576054.

The spelling of 29129880 in words is "twenty-nine million, one hundred twenty-nine thousand, eight hundred eighty".