1378933248 has 320 divisors, whose sum is σ = 4666844160. Its totient is φ = 351436800.

The previous prime is 1378933247. The next prime is 1378933253. The reversal of 1378933248 is 8423398731.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (870912) is a multiple of the sum of its prime divisors (243).

It is a junction number, because it is equal to n+sod(n) for n = 1378933197 and 1378933206.

It is not an unprimeable number, because it can be changed into a prime (1378933247) 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, 10526143 + ... + 10526273.

It is an arithmetic number, because the mean of its divisors is an integer number (14583888).

Almost surely, 2^1378933248 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 1378933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333422080).

1378933248 is an abundant number, since it is smaller than the sum of its proper divisors (3287910912).

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

1378933248 is a wasteful number, since it uses less digits than its factorization.

1378933248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 243 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 1378933248 is about 37133.9904669563. The cubic root of 1378933248 is about 1113.0493346952.

It can be divided in two parts, 137893 and 3248, that added together give a palindrome (141141).

The spelling of 1378933248 in words is "one billion, three hundred seventy-eight million, nine hundred thirty-three thousand, two hundred forty-eight".