628261920 has 576 divisors, whose sum is σ = 2635161984. Its totient is φ = 139345920.

The previous prime is 628261873. The next prime is 628261937. The reversal of 628261920 is 29162826.

It is a happy number.

628261920 is a `hidden beast` number, since 628 + 2 + 6 + 1 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5559784 + ... + 5559896.

It is an arithmetic number, because the mean of its divisors is an integer number (4574934).

Almost surely, 2^628261920 is an apocalyptic number.

628261920 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 628261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317580992).

628261920 is an abundant number, since it is smaller than the sum of its proper divisors (2006900064).

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

628261920 is a wasteful number, since it uses less digits than its factorization.

628261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 628261920 is about 25065.1535004276. The cubic root of 628261920 is about 856.4728077712.

It can be divided in two parts, 62826 and 1920, that added together give a palindrome (64746).

The spelling of 628261920 in words is "six hundred twenty-eight million, two hundred sixty-one thousand, nine hundred twenty".