628962048 has 432 divisors, whose sum is σ = 2249904384. Its totient is φ = 166256640.

The previous prime is 628962029. The next prime is 628962067. The reversal of 628962048 is 840269826.

It is an interprime number because it is at equal distance from previous prime (628962029) and next prime (628962067).

It is a junction number, because it is equal to n+sod(n) for n = 628961994 and 628962012.

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, 7577815 + ... + 7577897.

It is an arithmetic number, because the mean of its divisors is an integer number (5208112).

Almost surely, 2^628962048 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 628962048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124952192).

628962048 is an abundant number, since it is smaller than the sum of its proper divisors (1620942336).

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

628962048 is a wasteful number, since it uses less digits than its factorization.

628962048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 628962048 is about 25079.1157738864. The cubic root of 628962048 is about 856.7908375443.

The spelling of 628962048 in words is "six hundred twenty-eight million, nine hundred sixty-two thousand, forty-eight".