29282000 has 100 divisors (see below), whose sum is σ = 77883780. Its totient is φ = 10648000.

The previous prime is 29281997. The next prime is 29282003. The reversal of 29282000 is 28292.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (29281997) and next prime (29282003).

It can be written as a sum of positive squares in 2 ways, for example, as 937024 + 28344976 = 968^2 + 5324^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29282003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2661995 + ... + 2662005.

Almost surely, 2^29282000 is an apocalyptic number.

29282000 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 29282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38941890).

29282000 is an abundant number, since it is smaller than the sum of its proper divisors (48601780).

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

29282000 is an frugal number, since it uses more digits than its factorization.

29282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 29282000 is about 5411.2845055495. The cubic root of 29282000 is about 308.2243263721.

The spelling of 29282000 in words is "twenty-nine million, two hundred eighty-two thousand".