29411928 has 144 divisors (see below), whose sum is σ = 99524880. Its totient is φ = 7641216.

The previous prime is 29411911. The next prime is 29411933. The reversal of 29411928 is 82911492.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 29411892 and 29411901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 438951 + ... + 439017.

It is an arithmetic number, because the mean of its divisors is an integer number (691145).

Almost surely, 2^29411928 is an apocalyptic number.

29411928 is a gapful number since it is divisible by the number (28) 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 29411928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49762440).

29411928 is an abundant number, since it is smaller than the sum of its proper divisors (70112952).

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

29411928 is a wasteful number, since it uses less digits than its factorization.

29411928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 92 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 29411928 is about 5423.2765004193. The cubic root of 29411928 is about 308.6795307601.

The spelling of 29411928 in words is "twenty-nine million, four hundred eleven thousand, nine hundred twenty-eight".