29429820 has 72 divisors (see below), whose sum is σ = 102027744. Its totient is φ = 6726528.

The previous prime is 29429801. The next prime is 29429821. The reversal of 29429820 is 2892492.

It is a super-2 number, since 2×29429820² = 1732228610464800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29429821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10419 + ... + 12938.

It is an arithmetic number, because the mean of its divisors is an integer number (1417052).

Almost surely, 2^29429820 is an apocalyptic number.

29429820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29429820 is an abundant number, since it is smaller than the sum of its proper divisors (72597924).

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

29429820 is a wasteful number, since it uses less digits than its factorization.

29429820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23379 (or 23374 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 29429820 is about 5424.9258059443. The cubic root of 29429820 is about 308.7421105252.

The spelling of 29429820 in words is "twenty-nine million, four hundred twenty-nine thousand, eight hundred twenty".