29948000 has 48 divisors (see below), whose sum is σ = 73592064. Its totient is φ = 11977600.

The previous prime is 29947993. The next prime is 29948027. The reversal of 29948000 is 84992.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257 + ... + 7743.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 2^29948000 is an apocalyptic number.

29948000 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 29948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36796032).

29948000 is an abundant number, since it is smaller than the sum of its proper divisors (43644064).

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

29948000 is an equidigital number, since it uses as much as digits as its factorization.

29948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 29948000 is about 5472.4765874328. The cubic root of 29948000 is about 310.5436177783.

The spelling of 29948000 in words is "twenty-nine million, nine hundred forty-eight thousand".