1009728460 has 24 divisors (see below), whose sum is σ = 2283540336. Its totient is φ = 372822720.

The previous prime is 1009728427. The next prime is 1009728463. The reversal of 1009728460 is 648279001.

It is not an unprimeable number, because it can be changed into a prime (1009728463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1941526 + ... + 1942045.

It is an arithmetic number, because the mean of its divisors is an integer number (95147514).

Almost surely, 2^1009728460 is an apocalyptic number.

1009728460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009728460 is an abundant number, since it is smaller than the sum of its proper divisors (1273811876).

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

1009728460 is a wasteful number, since it uses less digits than its factorization.

1009728460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883593 (or 3883591 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 1009728460 is about 31776.2247600309. The cubic root of 1009728460 is about 1003.2323605876.

The spelling of 1009728460 in words is "one billion, nine million, seven hundred twenty-eight thousand, four hundred sixty".