29828040 has 128 divisors (see below), whose sum is σ = 99532800. Its totient is φ = 7089920.

The previous prime is 29828039. The next prime is 29828041. The reversal of 29828040 is 4082892.

It is an interprime number because it is at equal distance from previous prime (29828039) and next prime (29828041).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 29827992 and 29828010.

It is not an unprimeable number, because it can be changed into a prime (29828041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77689 + ... + 78071.

It is an arithmetic number, because the mean of its divisors is an integer number (777600).

Almost surely, 2^29828040 is an apocalyptic number.

29828040 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 29828040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49766400).

29828040 is an abundant number, since it is smaller than the sum of its proper divisors (69704760).

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

29828040 is a wasteful number, since it uses less digits than its factorization.

29828040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 29828040 is about 5461.5052870065. The cubic root of 29828040 is about 310.1284240709.

The spelling of 29828040 in words is "twenty-nine million, eight hundred twenty-eight thousand, forty".