29488319352 has 128 divisors (see below), whose sum is σ = 87850656000. Its totient is φ = 9136333440.

The previous prime is 29488319347. The next prime is 29488319353. The reversal of 29488319352 is 25391388492.

29488319352 is a `hidden beast` number, since 29 + 488 + 3 + 1 + 93 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29488319353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149727 + ... + 285297.

It is an arithmetic number, because the mean of its divisors is an integer number (686333250).

Almost surely, 2^29488319352 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 29488319352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43925328000).

29488319352 is an abundant number, since it is smaller than the sum of its proper divisors (58362336648).

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

29488319352 is a wasteful number, since it uses less digits than its factorization.

29488319352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135658 (or 135648 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 29488319352 in words is "twenty-nine billion, four hundred eighty-eight million, three hundred nineteen thousand, three hundred fifty-two".