29385000 has 120 divisors (see below), whose sum is σ = 99600930. Its totient is φ = 7824000.

The previous prime is 29384989. The next prime is 29385029. The reversal of 29385000 is 58392.

It can be written as a sum of positive squares in 5 ways, for example, as 30276 + 29354724 = 174^2 + 5418^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44674 + ... + 45326.

Almost surely, 2^29385000 is an apocalyptic number.

29385000 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 29385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49800465).

29385000 is an abundant number, since it is smaller than the sum of its proper divisors (70215930).

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

29385000 is a wasteful number, since it uses less digits than its factorization.

29385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 29385000 is about 5420.7932998778. The cubic root of 29385000 is about 308.5852984653.

The spelling of 29385000 in words is "twenty-nine million, three hundred eighty-five thousand".