29341928 has 128 divisors (see below), whose sum is σ = 76032000. Its totient is φ = 10264320.

The previous prime is 29341901. The next prime is 29341931. The reversal of 29341928 is 82914392.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 29341891 and 29341900.

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, 269138 + ... + 269246.

It is an arithmetic number, because the mean of its divisors is an integer number (594000).

Almost surely, 2^29341928 is an apocalyptic number.

29341928 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 29341928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38016000).

29341928 is an abundant number, since it is smaller than the sum of its proper divisors (46690072).

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

29341928 is a wasteful number, since it uses less digits than its factorization.

29341928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 29341928 is about 5416.8189927300. The cubic root of 29341928 is about 308.4344518275.

The spelling of 29341928 in words is "twenty-nine million, three hundred forty-one thousand, nine hundred twenty-eight".