628744058880 has 768 divisors, whose sum is σ = 2446539863040. Its totient is φ = 134567952384.

The previous prime is 628744058857. The next prime is 628744058977. The reversal of 628744058880 is 88850447826.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1071113947 + ... + 1071114533.

It is an arithmetic number, because the mean of its divisors is an integer number (3185598780).

Almost surely, 2^628744058880 is an apocalyptic number.

628744058880 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 628744058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223269931520).

628744058880 is an abundant number, since it is smaller than the sum of its proper divisors (1817795804160).

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

628744058880 is a wasteful number, since it uses less digits than its factorization.

628744058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 60.

The spelling of 628744058880 in words is "six hundred twenty-eight billion, seven hundred forty-four million, fifty-eight thousand, eight hundred eighty".