1007728064 has 28 divisors (see below), whose sum is σ = 2285384304. Its totient is φ = 431883264.

The previous prime is 1007728031. The next prime is 1007728121. The reversal of 1007728064 is 4608277001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1124249 + ... + 1125144.

It is an arithmetic number, because the mean of its divisors is an integer number (81620868).

Almost surely, 2^1007728064 is an apocalyptic number.

1007728064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1007728064 is an abundant number, since it is smaller than the sum of its proper divisors (1277656240).

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

1007728064 is an equidigital number, since it uses as much as digits as its factorization.

1007728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249412 (or 2249402 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 1007728064 is about 31744.7328544437. The cubic root of 1007728064 is about 1002.5694137918.

The spelling of 1007728064 in words is "one billion, seven million, seven hundred twenty-eight thousand, sixty-four".