1023638328 has 96 divisors (see below), whose sum is σ = 2825971200. Its totient is φ = 334661184.

The previous prime is 1023638269. The next prime is 1023638351. The reversal of 1023638328 is 8238363201.

1023638328 is a `hidden beast` number, since 10 + 2 + 3 + 638 + 3 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1023638292 and 1023638301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2136793 + ... + 2137271.

It is an arithmetic number, because the mean of its divisors is an integer number (29437200).

Almost surely, 2^1023638328 is an apocalyptic number.

1023638328 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 1023638328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412985600).

1023638328 is an abundant number, since it is smaller than the sum of its proper divisors (1802332872).

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

1023638328 is a wasteful number, since it uses less digits than its factorization.

1023638328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1023638328 is about 31994.3483759241. The cubic root of 1023638328 is about 1007.8181597533.

The spelling of 1023638328 in words is "one billion, twenty-three million, six hundred thirty-eight thousand, three hundred twenty-eight".