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628235088 = 243133147691
BaseRepresentation
bin100101011100100…
…001101101010000
31121210010122112020
4211130201231100
52241312010323
6142201131440
721365624115
oct4534415520
91553118466
10628235088
112a2693358
12156489b80
13a0203450
145d61690c
153a248ae3
hex25721b50

628235088 has 160 divisors (see below), whose sum is σ = 1845215232. Its totient is φ = 182822400.

The previous prime is 628235077. The next prime is 628235093. The reversal of 628235088 is 880532826.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908823 + ... + 909513.

Almost surely, 2628235088 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 628235088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922607616).

628235088 is an abundant number, since it is smaller than the sum of its proper divisors (1216980144).

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

628235088 is a wasteful number, since it uses less digits than its factorization.

628235088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 628235088 is about 25064.6182496363. The cubic root of 628235088 is about 856.4606147644.

The spelling of 628235088 in words is "six hundred twenty-eight million, two hundred thirty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 47 48 52 62 78 93 94 104 124 141 156 186 188 208 248 282 312 372 376 403 496 564 611 624 691 744 752 806 1128 1209 1222 1382 1457 1488 1612 1833 2073 2256 2418 2444 2764 2914 3224 3666 4146 4371 4836 4888 5528 5828 6448 7332 8292 8742 8983 9672 9776 11056 11656 14664 16584 17484 17966 18941 19344 21421 23312 26949 29328 32477 33168 34968 35932 37882 42842 53898 56823 64263 64954 69936 71864 75764 85684 97431 107796 113646 128526 129908 143728 151528 171368 194862 215592 227292 257052 259816 278473 303056 342736 389724 422201 431184 454584 514104 519632 556946 779448 835419 844402 909168 1006787 1028208 1113892 1266603 1558896 1670838 1688804 2013574 2227784 2533206 3020361 3341676 3377608 4027148 4455568 5066412 6040722 6683352 6755216 8054296 10132824 12081444 13088231 13366704 16108592 20265648 24162888 26176462 39264693 48325776 52352924 78529386 104705848 157058772 209411696 314117544 628235088