1378292328 has 256 divisors, whose sum is σ = 4570214400. Its totient is φ = 376669440.

The previous prime is 1378292327. The next prime is 1378292329. The reversal of 1378292328 is 8232928731.

1378292328 is a `hidden beast` number, since 1 + 37 + 8 + 292 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (1378292327) and next prime (1378292329).

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 (1378292327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3971851 + ... + 3972197.

It is an arithmetic number, because the mean of its divisors is an integer number (17852400).

Almost surely, 2^1378292328 is an apocalyptic number.

1378292328 is a gapful number since it is divisible by the number (18) 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 1378292328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285107200).

1378292328 is an abundant number, since it is smaller than the sum of its proper divisors (3191922072).

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

1378292328 is a wasteful number, since it uses less digits than its factorization.

1378292328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1378292328 is about 37125.3596346217. The cubic root of 1378292328 is about 1112.8768617266.

The spelling of 1378292328 in words is "one billion, three hundred seventy-eight million, two hundred ninety-two thousand, three hundred twenty-eight".