829008348 has 48 divisors (see below), whose sum is σ = 2227593984. Its totient is φ = 235048320.

The previous prime is 829008337. The next prime is 829008359. The reversal of 829008348 is 843800928.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (829008337) and next prime (829008359).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26665 + ... + 48672.

It is an arithmetic number, because the mean of its divisors is an integer number (46408208).

Almost surely, 2^829008348 is an apocalyptic number.

It is an amenable number.

829008348 is an abundant number, since it is smaller than the sum of its proper divisors (1398585636).

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

829008348 is a wasteful number, since it uses less digits than its factorization.

829008348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75482 (or 75480 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 829008348 is about 28792.5050664231. The cubic root of 829008348 is about 939.4052175154.

The spelling of 829008348 in words is "eight hundred twenty-nine million, eight thousand, three hundred forty-eight".