628985952 has 288 divisors, whose sum is σ = 2171836800. Its totient is φ = 176553216.

The previous prime is 628985933. The next prime is 628985971. The reversal of 628985952 is 259589826.

628985952 is a `hidden beast` number, since 628 + 9 + 8 + 5 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (628985933) and next prime (628985971).

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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3513799 + ... + 3513977.

It is an arithmetic number, because the mean of its divisors is an integer number (7541100).

Almost surely, 2^628985952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628985952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085918400).

628985952 is an abundant number, since it is smaller than the sum of its proper divisors (1542850848).

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

628985952 is a wasteful number, since it uses less digits than its factorization.

628985952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 274 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 628985952 is about 25079.5923411845. The cubic root of 628985952 is about 856.8016916537.

The spelling of 628985952 in words is "six hundred twenty-eight million, nine hundred eighty-five thousand, nine hundred fifty-two".