628546240 has 112 divisors (see below), whose sum is σ = 1718413632. Its totient is φ = 214511616.

The previous prime is 628546223. The next prime is 628546249. The reversal of 628546240 is 42645826.

628546240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

628546240 is a nontrivial binomial coefficient, being equal to C(35456, 2).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 628546240.

It is not an unprimeable number, because it can be changed into a prime (628546249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619974 + ... + 620986.

Almost surely, 2^628546240 is an apocalyptic number.

628546240 is the 35455-th triangular number and also the 17728-th hexagonal number.

628546240 is the 11819-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859206816).

628546240 is an abundant number, since it is smaller than the sum of its proper divisors (1089867392).

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

628546240 is a wasteful number, since it uses less digits than its factorization.

628546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 628546240 is about 25070.8244778667. The cubic root of 628546240 is about 856.6019872404.

It can be divided in two parts, 6285 and 46240, that added together give a palindrome (52525).

The spelling of 628546240 in words is "six hundred twenty-eight million, five hundred forty-six thousand, two hundred forty".