1667125928 has 128 divisors (see below), whose sum is σ = 3657830400. Its totient is φ = 706252800.

The previous prime is 1667125921. The next prime is 1667125931. The reversal of 1667125928 is 8295217661.

It is a happy number.

It is a super-2 number, since 2×1667125928² = 5558617719619722368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1667125921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8728313 + ... + 8728503.

It is an arithmetic number, because the mean of its divisors is an integer number (28576800).

Almost surely, 2^1667125928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1667125928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828915200).

1667125928 is an abundant number, since it is smaller than the sum of its proper divisors (1990704472).

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

1667125928 is a wasteful number, since it uses less digits than its factorization.

1667125928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its digits is 362880, while the sum is 47.

The square root of 1667125928 is about 40830.4534385794. The cubic root of 1667125928 is about 1185.7399943993.

The spelling of 1667125928 in words is "one billion, six hundred sixty-seven million, one hundred twenty-five thousand, nine hundred twenty-eight".