1003766328 has 48 divisors (see below), whose sum is σ = 2812282200. Its totient is φ = 323050560.

The previous prime is 1003766327. The next prime is 1003766339. The reversal of 1003766328 is 8236673001.

It is a happy number.

1003766328 is a `hidden beast` number, since 10 + 0 + 3 + 7 + 6 + 632 + 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 = 1003766292 and 1003766301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003766327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238278 + ... + 242453.

Almost surely, 2^1003766328 is an apocalyptic number.

1003766328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1003766328 is an abundant number, since it is smaller than the sum of its proper divisors (1808515872).

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

1003766328 is a wasteful number, since it uses less digits than its factorization.

1003766328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480772 (or 480765 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1003766328 is about 31682.2715094736. The cubic root of 1003766328 is about 1001.2538698200.

The spelling of 1003766328 in words is "one billion, three million, seven hundred sixty-six thousand, three hundred twenty-eight".