1023378048 has 384 divisors, whose sum is σ = 3742502400. Its totient is φ = 260720640.

The previous prime is 1023378023. The next prime is 1023378073. The reversal of 1023378048 is 8408733201.

1023378048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1023378023) and next prime (1023378073).

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 7362363 + ... + 7362501.

It is an arithmetic number, because the mean of its divisors is an integer number (9746100).

Almost surely, 2^1023378048 is an apocalyptic number.

1023378048 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 1023378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871251200).

1023378048 is an abundant number, since it is smaller than the sum of its proper divisors (2719124352).

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

1023378048 is a wasteful number, since it uses less digits than its factorization.

1023378048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1023378048 is about 31990.2805239341. The cubic root of 1023378048 is about 1007.7327333745.

The spelling of 1023378048 in words is "one billion, twenty-three million, three hundred seventy-eight thousand, forty-eight".