1612387728 has 360 divisors, whose sum is σ = 5708964960. Its totient is φ = 434367360.

The previous prime is 1612387723. The next prime is 1612387757. The reversal of 1612387728 is 8277832161.

1612387728 is a `hidden beast` number, since 1 + 612 + 3 + 8 + 7 + 7 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1612387723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7641543 + ... + 7641753.

It is an arithmetic number, because the mean of its divisors is an integer number (15858236).

Almost surely, 2^1612387728 is an apocalyptic number.

1612387728 is a gapful number since it is divisible by the number (18) 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 1612387728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854482480).

1612387728 is an abundant number, since it is smaller than the sum of its proper divisors (4096577232).

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

1612387728 is a wasteful number, since it uses less digits than its factorization.

1612387728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 242 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 1612387728 is about 40154.5480363059. The cubic root of 1612387728 is about 1172.6178332605.

The spelling of 1612387728 in words is "one billion, six hundred twelve million, three hundred eighty-seven thousand, seven hundred twenty-eight".