29941128 has 48 divisors (see below), whose sum is σ = 92676480. Its totient is φ = 8554464.

The previous prime is 29941127. The next prime is 29941129. The reversal of 29941128 is 82114992.

It is an interprime number because it is at equal distance from previous prime (29941127) and next prime (29941129).

It is a super-2 number, since 2×29941128² = 1792942291824768, which contains 22 as substring.

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 = 29941092 and 29941101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29941127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29200 + ... + 30207.

It is an arithmetic number, because the mean of its divisors is an integer number (1930760).

Almost surely, 2^29941128 is an apocalyptic number.

29941128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29941128 is an abundant number, since it is smaller than the sum of its proper divisors (62735352).

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

29941128 is a wasteful number, since it uses less digits than its factorization.

29941128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59426 (or 59419 counting only the distinct ones).

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

The square root of 29941128 is about 5471.8486821183. The cubic root of 29941128 is about 310.5198630591.

The spelling of 29941128 in words is "twenty-nine million, nine hundred forty-one thousand, one hundred twenty-eight".