29988000 has 432 divisors, whose sum is σ = 131085864. Its totient is φ = 6451200.

The previous prime is 29987987. The next prime is 29988029. The reversal of 29988000 is 88992.

It can be written as a sum of positive squares in 4 ways, for example, as 13046544 + 16941456 = 3612^2 + 4116^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1763992 + ... + 1764008.

Almost surely, 2^29988000 is an apocalyptic number.

29988000 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 29988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65542932).

29988000 is an abundant number, since it is smaller than the sum of its proper divisors (101097864).

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

29988000 is a wasteful number, since it uses less digits than its factorization.

29988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 29988000 is about 5476.1300203702. The cubic root of 29988000 is about 310.6818153034.

The spelling of 29988000 in words is "twenty-nine million, nine hundred eighty-eight thousand".