628961760 has 288 divisors, whose sum is σ = 2544901632. Its totient is φ = 143700480.

The previous prime is 628961701. The next prime is 628961761. The reversal of 628961760 is 67169826.

628961760 is a `hidden beast` number, since 6 + 28 + 9 + 617 + 6 + 0 = 666.

628961760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628961761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271005 + ... + 273315.

It is an arithmetic number, because the mean of its divisors is an integer number (8836464).

Almost surely, 2^628961760 is an apocalyptic number.

628961760 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 628961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272450816).

628961760 is an abundant number, since it is smaller than the sum of its proper divisors (1915939872).

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

628961760 is a wasteful number, since it uses less digits than its factorization.

628961760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 628961760 is about 25079.1100320566. The cubic root of 628961760 is about 856.7907067702.

The spelling of 628961760 in words is "six hundred twenty-eight million, nine hundred sixty-one thousand, seven hundred sixty".