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628009440 = 25351308353
BaseRepresentation
bin100101011011101…
…010100111100000
31121202201011222220
4211123222213200
52241232300230
6142152231040
721363664212
oct4533524740
91552634886
10628009440
112a2549873
1215639b480
13a0154826
145d5985b2
153a201d10
hex256ea9e0

628009440 has 48 divisors (see below), whose sum is σ = 1978231248. Its totient is φ = 167469056.

The previous prime is 628009433. The next prime is 628009469. The reversal of 628009440 is 44900826.

628009440 is digitally balanced in base 2, 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 (48).

It is a super-2 number, since 2×6280094402 = 788791713458227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653697 + ... + 654656.

It is an arithmetic number, because the mean of its divisors is an integer number (41213151).

Almost surely, 2628009440 is an apocalyptic number.

628009440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628009440 is an abundant number, since it is smaller than the sum of its proper divisors (1350221808).

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

628009440 is a wasteful number, since it uses less digits than its factorization.

628009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308371 (or 1308363 counting only the distinct ones).

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

The square root of 628009440 is about 25060.1165200803. The cubic root of 628009440 is about 856.3580619827.

The spelling of 628009440 in words is "six hundred twenty-eight million, nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1308353 2616706 3925059 5233412 6541765 7850118 10466824 13083530 15700236 19625295 20933648 26167060 31400472 39250590 41867296 52334120 62800944 78501180 104668240 125601888 157002360 209336480 314004720 628009440