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628813320 = 233510748973
BaseRepresentation
bin100101011110101…
…110111000001000
31121211020000201020
4211132232320020
52241434011240
6142221352440
721403552662
oct4536567010
91554200636
10628813320
112a2a48833
12156708720
13a03766b5
145d727532
153a3100d0
hex257aee08

628813320 has 64 divisors (see below), whose sum is σ = 1904109120. Its totient is φ = 166113024.

The previous prime is 628813319. The next prime is 628813337. The reversal of 628813320 is 23318826.

628813320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11647 + ... + 37326.

It is an arithmetic number, because the mean of its divisors is an integer number (29751705).

Almost surely, 2628813320 is an apocalyptic number.

628813320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628813320 is an abundant number, since it is smaller than the sum of its proper divisors (1275295800).

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

628813320 is a wasteful number, since it uses less digits than its factorization.

628813320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49094 (or 49090 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 628813320 is about 25076.1504222638. The cubic root of 628813320 is about 856.7232983164.

The spelling of 628813320 in words is "six hundred twenty-eight million, eight hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 48973 97946 146919 195892 244865 293838 391784 489730 587676 734595 979460 1175352 1469190 1958920 2938380 5240111 5876760 10480222 15720333 20960444 26200555 31440666 41920888 52401110 62881332 78601665 104802220 125762664 157203330 209604440 314406660 628813320