628824840 has 192 divisors, whose sum is σ = 2208772800. Its totient is φ = 142797312.

The previous prime is 628824803. The next prime is 628824869. The reversal of 628824840 is 48428826.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 628824792 and 628824801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1346287 + ... + 1346753.

It is an arithmetic number, because the mean of its divisors is an integer number (11504025).

Almost surely, 2^628824840 is an apocalyptic number.

628824840 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 628824840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104386400).

628824840 is an abundant number, since it is smaller than the sum of its proper divisors (1579947960).

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

628824840 is a wasteful number, since it uses less digits than its factorization.

628824840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 628824840 is about 25076.3801215407. The cubic root of 628824840 is about 856.7285300717.

The spelling of 628824840 in words is "six hundred twenty-eight million, eight hundred twenty-four thousand, eight hundred forty".