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628752384 = 217321341
BaseRepresentation
bin100101011110100…
…000000000000000
31121211002221010100
4211132200000000
52241430034014
6142220202400
721403210221
oct4536400000
91554087110
10628752384
112a2a06a77
12156699400
13a0354a40
145d70d248
153a2ec009
hex257a0000

628752384 has 216 divisors, whose sum is σ = 2003821092. Its totient is φ = 188743680.

The previous prime is 628752379. The next prime is 628752391. The reversal of 628752384 is 483257826.

It can be written as a sum of positive squares in 2 ways, for example, as 496041984 + 132710400 = 22272^2 + 11520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15335404 + ... + 15335444.

Almost surely, 2628752384 is an apocalyptic number.

628752384 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 628752384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001910546).

628752384 is an abundant number, since it is smaller than the sum of its proper divisors (1375068708).

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

628752384 is an equidigital number, since it uses as much as digits as its factorization.

628752384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 628752384 is about 25074.9353737951. The cubic root of 628752384 is about 856.6956234482.

The spelling of 628752384 in words is "six hundred twenty-eight million, seven hundred fifty-two thousand, three hundred eighty-four".