29120431248 has 90 divisors (see below), whose sum is σ = 86315715954. Its totient is φ = 9133172736.

The previous prime is 29120431217. The next prime is 29120431267. The reversal of 29120431248 is 84213402192.

It can be written as a sum of positive squares in 3 ways, for example, as 860131584 + 28260299664 = 29328^2 + 168108^2 .

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 17 ways as a sum of consecutive naturals, for example, 8441428 + ... + 8444876.

Almost surely, 2^29120431248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29120431248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43157857977).

29120431248 is an abundant number, since it is smaller than the sum of its proper divisors (57195284706).

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

29120431248 is an equidigital number, since it uses as much as digits as its factorization.

29120431248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6929 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 29120431248 in words is "twenty-nine billion, one hundred twenty million, four hundred thirty-one thousand, two hundred forty-eight".