628135342380 has 576 divisors, whose sum is σ = 2505109178880. Its totient is φ = 129444521472.

The previous prime is 628135342361. The next prime is 628135342399. The reversal of 628135342380 is 83243531826.

628135342380 is a `hidden beast` number, since 6 + 2 + 8 + 13 + 534 + 23 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (628135342361) and next prime (628135342399).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14769907 + ... + 14812373.

It is an arithmetic number, because the mean of its divisors is an integer number (4349147880).

Almost surely, 2^628135342380 is an apocalyptic number.

628135342380 is a gapful number since it is divisible by the number (60) 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 628135342380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252554589440).

628135342380 is an abundant number, since it is smaller than the sum of its proper divisors (1876973836500).

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

628135342380 is a wasteful number, since it uses less digits than its factorization.

628135342380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42555 (or 42540 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 628135342380 in words is "six hundred twenty-eight billion, one hundred thirty-five million, three hundred forty-two thousand, three hundred eighty".