628053720 has 128 divisors (see below), whose sum is σ = 2165875200. Its totient is φ = 142718976.

The previous prime is 628053697. The next prime is 628053737. The reversal of 628053720 is 27350826.

It is a Cunningham number, because it is equal to 25061²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148272 + ... + 152448.

It is an arithmetic number, because the mean of its divisors is an integer number (16920900).

Almost surely, 2^628053720 is an apocalyptic number.

628053720 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 628053720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082937600).

628053720 is an abundant number, since it is smaller than the sum of its proper divisors (1537821480).

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

628053720 is a wasteful number, since it uses less digits than its factorization.

628053720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 628053720 is about 25060.9999800487. Note that the first 4 decimals coincide. The cubic root of 628053720 is about 856.3781883489.

The spelling of 628053720 in words is "six hundred twenty-eight million, fifty-three thousand, seven hundred twenty".