628148211138 has 192 divisors, whose sum is σ = 1603620695040. Its totient is φ = 174008217600.

The previous prime is 628148211137. The next prime is 628148211149. The reversal of 628148211138 is 831112841826.

628148211138 is a `hidden beast` number, since 6 + 28 + 1 + 482 + 11 + 138 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 628148211093 and 628148211102.

It is not an unprimeable number, because it can be changed into a prime (628148211137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202040328 + ... + 202043436.

It is an arithmetic number, because the mean of its divisors is an integer number (8352191120).

Almost surely, 2^628148211138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628148211138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801810347520).

628148211138 is an abundant number, since it is smaller than the sum of its proper divisors (975472483902).

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

628148211138 is a wasteful number, since it uses less digits than its factorization.

628148211138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3550 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The spelling of 628148211138 in words is "six hundred twenty-eight billion, one hundred forty-eight million, two hundred eleven thousand, one hundred thirty-eight".