29288420 has 24 divisors (see below), whose sum is σ = 70292544. Its totient is φ = 10041696.

The previous prime is 29288419. The next prime is 29288431. The reversal of 29288420 is 2488292.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104462 + ... + 104741.

It is an arithmetic number, because the mean of its divisors is an integer number (2928856).

Almost surely, 2^29288420 is an apocalyptic number.

29288420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29288420 is an abundant number, since it is smaller than the sum of its proper divisors (41004124).

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

29288420 is a wasteful number, since it uses less digits than its factorization.

29288420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209219 (or 209217 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 29288420 is about 5411.8776778490. The cubic root of 29288420 is about 308.2468505118.

The spelling of 29288420 in words is "twenty-nine million, two hundred eighty-eight thousand, four hundred twenty".