351433728 has 220 divisors, whose sum is σ = 1109637760. Its totient is φ = 110481408.

The previous prime is 351433727. The next prime is 351433759. The reversal of 351433728 is 827334153.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 351433692 and 351433701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351433723) 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 19 ways as a sum of consecutive naturals, for example, 1575825 + ... + 1576047.

It is an arithmetic number, because the mean of its divisors is an integer number (5043808).

Almost surely, 2^351433728 is an apocalyptic number.

351433728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554818880).

351433728 is an abundant number, since it is smaller than the sum of its proper divisors (758204032).

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

351433728 is a wasteful number, since it uses less digits than its factorization.

351433728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 247 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 351433728 is about 18746.5657654942. The cubic root of 351433728 is about 705.6908393391.

The spelling of 351433728 in words is "three hundred fifty-one million, four hundred thirty-three thousand, seven hundred twenty-eight".