628023137280 has 1056 divisors, whose sum is σ = 2632367849472. Its totient is φ = 126237081600.

The previous prime is 628023137243. The next prime is 628023137281. The reversal of 628023137280 is 82731320826.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628023137281) 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, 256649017 + ... + 256651463.

Almost surely, 2^628023137280 is an apocalyptic number.

628023137280 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 628023137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316183924736).

628023137280 is an abundant number, since it is smaller than the sum of its proper divisors (2004344712192).

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

628023137280 is a wasteful number, since it uses less digits than its factorization.

628023137280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 628023137280 in words is "six hundred twenty-eight billion, twenty-three million, one hundred thirty-seven thousand, two hundred eighty".