628144483958784 has 1024 divisors, whose sum is σ = 2079833565667200. Its totient is φ = 186100664500224.

The previous prime is 628144483958591. The next prime is 628144483958879. The reversal of 628144483958784 is 487859384441826.

628144483958784 is a `hidden beast` number, since 6 + 2 + 8 + 1 + 4 + 4 + 483 + 9 + 58 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×628144483958784² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41279119944 + ... + 41279135160.

Almost surely, 2^{628144483958784} is an apocalyptic number.

628144483958784 is a gapful number since it is divisible by the number (64) 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 628144483958784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039916782833600).

628144483958784 is an abundant number, since it is smaller than the sum of its proper divisors (1451689081708416).

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

628144483958784 is a wasteful number, since it uses less digits than its factorization.

628144483958784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15403 (or 15369 counting only the distinct ones).

The product of its digits is 11890851840, while the sum is 81.

The spelling of 628144483958784 in words is "six hundred twenty-eight trillion, one hundred forty-four billion, four hundred eighty-three million, nine hundred fifty-eight thousand, seven hundred eighty-four".