29005000 has 40 divisors (see below), whose sum is σ = 67970430. Its totient is φ = 11600000.

The previous prime is 29004979. The next prime is 29005013. The reversal of 29005000 is 50092.

It can be written as a sum of positive squares in 5 ways, for example, as 5171076 + 23833924 = 2274^2 + 4882^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2100 + ... + 7900.

Almost surely, 2^29005000 is an apocalyptic number.

29005000 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 29005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33985215).

29005000 is an abundant number, since it is smaller than the sum of its proper divisors (38965430).

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

29005000 is an equidigital number, since it uses as much as digits as its factorization.

29005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5827 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 29005000 is about 5385.6290254714. The cubic root of 29005000 is about 307.2493385472.

Adding to 29005000 its reverse (50092), we get a palindrome (29055092).

The spelling of 29005000 in words is "twenty-nine million, five thousand".