29478988 has 72 divisors (see below), whose sum is σ = 66591504. Its totient is φ = 11383680.

The previous prime is 29478961. The next prime is 29478989. The reversal of 29478988 is 88987492.

It is not an unprimeable number, because it can be changed into a prime (29478989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260820 + ... + 260932.

It is an arithmetic number, because the mean of its divisors is an integer number (924882).

Almost surely, 2^29478988 is an apocalyptic number.

29478988 is a gapful number since it is divisible by the number (28) 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 29478988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33295752).

29478988 is an abundant number, since it is smaller than the sum of its proper divisors (37112516).

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

29478988 is a wasteful number, since it uses less digits than its factorization.

29478988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 133 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 55.

The square root of 29478988 is about 5429.4555896517. The cubic root of 29478988 is about 308.9139519446.

It can be divided in two parts, 2947 and 8988, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 29478988 in words is "twenty-nine million, four hundred seventy-eight thousand, nine hundred eighty-eight".