1007632728 has 48 divisors (see below), whose sum is σ = 2795574600. Its totient is φ = 327684480.

The previous prime is 1007632673. The next prime is 1007632741. The reversal of 1007632728 is 8272367001.

1007632728 is a `hidden beast` number, since 10 + 0 + 7 + 632 + 7 + 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 = 1007632692 and 1007632701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167718 + ... + 173621.

Almost surely, 2^1007632728 is an apocalyptic number.

1007632728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1007632728 is an abundant number, since it is smaller than the sum of its proper divisors (1787941872).

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

1007632728 is a wasteful number, since it uses less digits than its factorization.

1007632728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341392 (or 341385 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1007632728 is about 31743.2312154891. The cubic root of 1007632728 is about 1002.5377968059.

Adding to 1007632728 its reverse (8272367001), we get a palindrome (9279999729).

The spelling of 1007632728 in words is "one billion, seven million, six hundred thirty-two thousand, seven hundred twenty-eight".