1078128672 has 48 divisors (see below), whose sum is σ = 2845769472. Its totient is φ = 357384960.

The previous prime is 1078128631. The next prime is 1078128697. The reversal of 1078128672 is 2768218701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1078128672² = 2324722866776967168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13648 + ... + 48399.

It is an arithmetic number, because the mean of its divisors is an integer number (59286864).

Almost surely, 2^1078128672 is an apocalyptic number.

1078128672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1078128672 is an abundant number, since it is smaller than the sum of its proper divisors (1767640800).

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

1078128672 is a wasteful number, since it uses less digits than its factorization.

1078128672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62241 (or 62233 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 1078128672 is about 32834.8697576220. The cubic root of 1078128672 is about 1025.3926465557.

The spelling of 1078128672 in words is "one billion, seventy-eight million, one hundred twenty-eight thousand, six hundred seventy-two".