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628041360 = 24356142899
BaseRepresentation
bin100101011011110…
…010011010010000
31121202202210210010
4211123302122100
52241234310420
6142153034520
721364156242
oct4533623220
91552683703
10628041360
112a2570851
121563b5a40
13a016620b
145d5a6092
153a20b4e0
hex256f2690

628041360 has 80 divisors (see below), whose sum is σ = 1978891200. Its totient is φ = 164728320.

The previous prime is 628041347. The next prime is 628041377. The reversal of 628041360 is 63140826.

628041360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6810 + ... + 36089.

It is an arithmetic number, because the mean of its divisors is an integer number (24736140).

Almost surely, 2628041360 is an apocalyptic number.

628041360 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 628041360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989445600).

628041360 is an abundant number, since it is smaller than the sum of its proper divisors (1350849840).

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

628041360 is a wasteful number, since it uses less digits than its factorization.

628041360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42976 (or 42970 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 628041360 is about 25060.7533805351. The cubic root of 628041360 is about 856.3725705153.

The spelling of 628041360 in words is "six hundred twenty-eight million, forty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 42899 85798 128697 171596 214495 257394 343192 428990 514788 643485 686384 857980 1029576 1286970 1715960 2059152 2573940 2616839 3431920 5147880 5233678 7850517 10295760 10467356 13084195 15701034 20934712 26168390 31402068 39252585 41869424 52336780 62804136 78505170 104673560 125608272 157010340 209347120 314020680 628041360