1005428736 has 168 divisors, whose sum is σ = 3130791300. Its totient is φ = 309067776.

The previous prime is 1005428731. The next prime is 1005428737. The reversal of 1005428736 is 6378245001.

1005428736 is a `hidden beast` number, since 1 + 0 + 0 + 542 + 87 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1003622400 + 1806336 = 31680^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1005428736.

It is not an unprimeable number, because it can be changed into a prime (1005428731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957940 + ... + 958988.

Almost surely, 2^1005428736 is an apocalyptic number.

1005428736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005428736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565395650).

1005428736 is an abundant number, since it is smaller than the sum of its proper divisors (2125362564).

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

1005428736 is a wasteful number, since it uses less digits than its factorization.

1005428736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1005428736 is about 31708.4962746580. The cubic root of 1005428736 is about 1001.8063139321.

It can be divided in two parts, 100542 and 8736, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 1005428736 in words is "one billion, five million, four hundred twenty-eight thousand, seven hundred thirty-six".