354896928 has 144 divisors (see below), whose sum is σ = 1053351936. Its totient is φ = 113218560.

The previous prime is 354896917. The next prime is 354896929. The reversal of 354896928 is 829698453.

354896928 is a `hidden beast` number, since 3 + 548 + 9 + 6 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (354896929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1133700 + ... + 1134012.

It is an arithmetic number, because the mean of its divisors is an integer number (7314944).

Almost surely, 2^354896928 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 354896928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526675968).

354896928 is an abundant number, since it is smaller than the sum of its proper divisors (698455008).

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

354896928 is a wasteful number, since it uses less digits than its factorization.

354896928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 476 counting only the distinct ones).

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

The square root of 354896928 is about 18838.7082359699. The cubic root of 354896928 is about 708.0013406084.

The spelling of 354896928 in words is "three hundred fifty-four million, eight hundred ninety-six thousand, nine hundred twenty-eight".