1667461728 has 192 divisors, whose sum is σ = 4995551232. Its totient is φ = 483901440.

The previous prime is 1667461709. The next prime is 1667461729. The reversal of 1667461728 is 8271647661.

It is a super-2 number, since 2×1667461728² = 5560857228689491968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1667461729) 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, 1162900 + ... + 1164332.

It is an arithmetic number, because the mean of its divisors is an integer number (26018496).

Almost surely, 2^1667461728 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 1667461728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497775616).

1667461728 is an abundant number, since it is smaller than the sum of its proper divisors (3328089504).

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

1667461728 is a wasteful number, since it uses less digits than its factorization.

1667461728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1509 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 1667461728 is about 40834.5653582844. The cubic root of 1667461728 is about 1185.8196014149.

The spelling of 1667461728 in words is "one billion, six hundred sixty-seven million, four hundred sixty-one thousand, seven hundred twenty-eight".