368314128 has 280 divisors, whose sum is σ = 1320623808. Its totient is φ = 96857856.

The previous prime is 368314103. The next prime is 368314151. The reversal of 368314128 is 821413863.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 368314092 and 368314101.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1061251 + ... + 1061597.

Almost surely, 2^368314128 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 368314128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660311904).

368314128 is an abundant number, since it is smaller than the sum of its proper divisors (952309680).

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

368314128 is a wasteful number, since it uses less digits than its factorization.

368314128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 372 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 368314128 is about 19191.5118737425. The cubic root of 368314128 is about 716.8134176013.

The spelling of 368314128 in words is "three hundred sixty-eight million, three hundred fourteen thousand, one hundred twenty-eight".