1005053728 has 48 divisors (see below), whose sum is σ = 2334334464. Its totient is φ = 416839680.

The previous prime is 1005053689. The next prime is 1005053741. The reversal of 1005053728 is 8273505001.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 1005053728.

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, 65425 + ... + 79312.

It is an arithmetic number, because the mean of its divisors is an integer number (48631968).

Almost surely, 2^1005053728 is an apocalyptic number.

It is an amenable number.

1005053728 is an abundant number, since it is smaller than the sum of its proper divisors (1329280736).

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

1005053728 is a wasteful number, since it uses less digits than its factorization.

1005053728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144785 (or 144777 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 1005053728 is about 31702.5823553855. The cubic root of 1005053728 is about 1001.6817461444.

Adding to 1005053728 its reverse (8273505001), we get a palindrome (9278558729).

The spelling of 1005053728 in words is "one billion, five million, fifty-three thousand, seven hundred twenty-eight".