348800928 has 192 divisors, whose sum is σ = 1087930368. Its totient is φ = 95800320.

The previous prime is 348800927. The next prime is 348800941. The reversal of 348800928 is 829008843.

It is a happy number.

It is a super-2 number, since 2×348800928² = 243324174747322368, which contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 348800928.

It is not an unprimeable number, because it can be changed into a prime (348800927) 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, 2746401 + ... + 2746527.

It is an arithmetic number, because the mean of its divisors is an integer number (5666304).

Almost surely, 2^348800928 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 348800928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543965184).

348800928 is an abundant number, since it is smaller than the sum of its proper divisors (739129440).

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

348800928 is a wasteful number, since it uses less digits than its factorization.

348800928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

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

The square root of 348800928 is about 18676.2128923398. The cubic root of 348800928 is about 703.9241696905.

The spelling of 348800928 in words is "three hundred forty-eight million, eight hundred thousand, nine hundred twenty-eight".