336217728 has 256 divisors, whose sum is σ = 1135088640. Its totient is φ = 85647360.

The previous prime is 336217727. The next prime is 336217729. The reversal of 336217728 is 827712633.

It is an interprime number because it is at equal distance from previous prime (336217727) and next prime (336217729).

It is a super-2 number, since 2×336217728² = 226084721242963968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (336217727) 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, 2454076 + ... + 2454212.

It is an arithmetic number, because the mean of its divisors is an integer number (4433940).

Almost surely, 2^336217728 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 336217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567544320).

336217728 is an abundant number, since it is smaller than the sum of its proper divisors (798870912).

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

336217728 is a wasteful number, since it uses less digits than its factorization.

336217728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 336217728 is about 18336.2408361147. The cubic root of 336217728 is about 695.3554609045.

The spelling of 336217728 in words is "three hundred thirty-six million, two hundred seventeen thousand, seven hundred twenty-eight".