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628894608 = 24343535749
BaseRepresentation
bin100101011111000…
…010101110010000
31121211101011012220
4211133002232100
52241444111413
6142223221040
721404341656
oct4537025620
91554334186
10628894608
112a2aa3911
12156747780
13a03a46b4
145d748dd6
153a329223
hex257c2b90

628894608 has 80 divisors (see below), whose sum is σ = 1694088000. Its totient is φ = 200858112.

The previous prime is 628894603. The next prime is 628894633. The reversal of 628894608 is 806498826.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (628894601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106518 + ... + 112266.

It is an arithmetic number, because the mean of its divisors is an integer number (21176100).

Almost surely, 2628894608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628894608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847044000).

628894608 is an abundant number, since it is smaller than the sum of its proper divisors (1065193392).

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

628894608 is a wasteful number, since it uses less digits than its factorization.

628894608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 628894608 is about 25077.7711928313. The cubic root of 628894608 is about 856.7602135241.

The spelling of 628894608 in words is "six hundred twenty-eight million, eight hundred ninety-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 53 86 106 129 159 172 212 258 318 344 424 516 636 688 848 1032 1272 2064 2279 2544 4558 5749 6837 9116 11498 13674 17247 18232 22996 27348 34494 36464 45992 54696 68988 91984 109392 137976 247207 275952 304697 494414 609394 741621 914091 988828 1218788 1483242 1828182 1977656 2437576 2966484 3656364 3955312 4875152 5932968 7312728 11865936 13101971 14625456 26203942 39305913 52407884 78611826 104815768 157223652 209631536 314447304 628894608