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628798464 = 210357192
BaseRepresentation
bin100101011110101…
…011010000000000
31121211012021100000
4211132223100000
52241433022324
6142221200000
721403461450
oct4536532000
91554167300
10628798464
112a2a38658
12156700000
13a036c9c8
145d721d60
153a30a9c9
hex257ab400

628798464 has 396 divisors, whose sum is σ = 2271089184. Its totient is φ = 170201088.

The previous prime is 628798433. The next prime is 628798481. The reversal of 628798464 is 464897826.

628798464 is a `hidden beast` number, since 628 + 7 + 9 + 8 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 628798464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33094647 + ... + 33094665.

Almost surely, 2628798464 is an apocalyptic number.

628798464 is a gapful number since it is divisible by the number (64) 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 628798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135544592).

628798464 is an abundant number, since it is smaller than the sum of its proper divisors (1642290720).

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

628798464 is an equidigital number, since it uses as much as digits as its factorization.

628798464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 31 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 628798464 is about 25075.8542027984. The cubic root of 628798464 is about 856.7165514377.

The spelling of 628798464 in words is "six hundred twenty-eight million, seven hundred ninety-eight thousand, four hundred sixty-four".