29304828 has 144 divisors (see below), whose sum is σ = 90504960. Its totient is φ = 8118144.

The previous prime is 29304823. The next prime is 29304833. The reversal of 29304828 is 82840392.

It is an interprime number because it is at equal distance from previous prime (29304823) and next prime (29304833).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 29304792 and 29304801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29304823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401400 + ... + 401472.

Almost surely, 2^29304828 is an apocalyptic number.

29304828 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 29304828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45252480).

29304828 is an abundant number, since it is smaller than the sum of its proper divisors (61200132).

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

29304828 is a wasteful number, since it uses less digits than its factorization.

29304828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 29304828 is about 5413.3933904715. The cubic root of 29304828 is about 308.3044019279.

The spelling of 29304828 in words is "twenty-nine million, three hundred four thousand, eight hundred twenty-eight".