1628460605952 has 160 divisors (see below), whose sum is σ = 4857158496960. Its totient is φ = 538675937280.

The previous prime is 1628460605939. The next prime is 1628460605957. The reversal of 1628460605952 is 2595060648261.

1628460605952 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 46 + 0 + 6 + 0 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1628460605957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1361328 + ... + 2260560.

It is an arithmetic number, because the mean of its divisors is an integer number (30357240606).

Almost surely, 2^{1628460605952} is an apocalyptic number.

1628460605952 is a gapful number since it is divisible by the number (12) 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 1628460605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428579248480).

1628460605952 is an abundant number, since it is smaller than the sum of its proper divisors (3228697891008).

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

1628460605952 is an equidigital number, since it uses as much as digits as its factorization.

1628460605952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899391 (or 899369 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1628460605952 in words is "one trillion, six hundred twenty-eight billion, four hundred sixty million, six hundred five thousand, nine hundred fifty-two".