1006151628 has 12 divisors (see below), whose sum is σ = 2347687160. Its totient is φ = 335383872.

The previous prime is 1006151621. The next prime is 1006151633. The reversal of 1006151628 is 8261516001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 1006151595 and 1006151604.

It is not an unprimeable number, because it can be changed into a prime (1006151621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41922973 + ... + 41922996.

Almost surely, 2^1006151628 is an apocalyptic number.

It is an amenable number.

1006151628 is an abundant number, since it is smaller than the sum of its proper divisors (1341535532).

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

1006151628 is a wasteful number, since it uses less digits than its factorization.

1006151628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83845976 (or 83845974 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1006151628 is about 31719.8932532882. The cubic root of 1006151628 is about 1002.0463522527.

Adding to 1006151628 its reverse (8261516001), we get a palindrome (9267667629).

The spelling of 1006151628 in words is "one billion, six million, one hundred fifty-one thousand, six hundred twenty-eight".