1527628068 has 36 divisors (see below), whose sum is σ = 3863985580. Its totient is φ = 508882176.

The previous prime is 1527628051. The next prime is 1527628087. The reversal of 1527628068 is 8608267251.

1527628068 is a `hidden beast` number, since 1 + 527 + 62 + 8 + 0 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1170871524 + 356756544 = 34218^2 + 18888^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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, 46848 + ... + 72456.

Almost surely, 2^1527628068 is an apocalyptic number.

1527628068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1527628068 is an abundant number, since it is smaller than the sum of its proper divisors (2336357512).

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

1527628068 is a wasteful number, since it uses less digits than its factorization.

1527628068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27276 (or 27271 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1527628068 is about 39084.8828576983. The cubic root of 1527628068 is about 1151.6995834847.

The spelling of 1527628068 in words is "one billion, five hundred twenty-seven million, six hundred twenty-eight thousand, sixty-eight".