1007533328 has 20 divisors (see below), whose sum is σ = 1953697500. Its totient is φ = 503353344.

The previous prime is 1007533321. The next prime is 1007533333. The reversal of 1007533328 is 8233357001.

It can be written as a sum of positive squares in 2 ways, for example, as 369869824 + 637663504 = 19232^2 + 25252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1007533294 and 1007533303.

It is not an unprimeable number, because it can be changed into a prime (1007533321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5225 + ... + 45192.

It is an arithmetic number, because the mean of its divisors is an integer number (97684875).

Almost surely, 2^1007533328 is an apocalyptic number.

It is an amenable number.

1007533328 is a deficient number, since it is larger than the sum of its proper divisors (946164172).

1007533328 is a wasteful number, since it uses less digits than its factorization.

1007533328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51674 (or 51668 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 1007533328 is about 31741.6654887547. The cubic root of 1007533328 is about 1002.5048299218.

The spelling of 1007533328 in words is "one billion, seven million, five hundred thirty-three thousand, three hundred twenty-eight".