338128056 has 192 divisors, whose sum is σ = 1085011200. Its totient is φ = 93141504.

The previous prime is 338128033. The next prime is 338128097. The reversal of 338128056 is 650821833.

It is a super-2 number, since 2×338128056² = 228661164508678272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 338128056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2468020 + ... + 2468156.

It is an arithmetic number, because the mean of its divisors is an integer number (5651100).

Almost surely, 2^338128056 is an apocalyptic number.

338128056 is a gapful number since it is divisible by the number (36) 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 338128056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542505600).

338128056 is an abundant number, since it is smaller than the sum of its proper divisors (746883144).

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

338128056 is a wasteful number, since it uses less digits than its factorization.

338128056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 338128056 is about 18388.2586451246. The cubic root of 338128056 is about 696.6699356038.

Adding to 338128056 its reverse (650821833), we get a palindrome (988949889).

The spelling of 338128056 in words is "three hundred thirty-eight million, one hundred twenty-eight thousand, fifty-six".