1005373728 has 48 divisors (see below), whose sum is σ = 2932342560. Its totient is φ = 335124288.

The previous prime is 1005373717. The next prime is 1005373753. The reversal of 1005373728 is 8273735001.

1005373728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 = 1005373692 and 1005373701.

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, 580950 + ... + 582677.

It is an arithmetic number, because the mean of its divisors is an integer number (61090470).

Almost surely, 2^1005373728 is an apocalyptic number.

1005373728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1005373728 is an abundant number, since it is smaller than the sum of its proper divisors (1926968832).

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

1005373728 is a wasteful number, since it uses less digits than its factorization.

1005373728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163646 (or 1163632 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1005373728 is about 31707.6288612063. The cubic root of 1005373728 is about 1001.7880436610.

The spelling of 1005373728 in words is "one billion, five million, three hundred seventy-three thousand, seven hundred twenty-eight".