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10428935928 = 2333153733623
BaseRepresentation
bin10011011011001110…
…01110111011111000
3222220210212211121020
421231213032323320
5132324301422203
64442504142440
7516303331005
oct115547167370
928823784536
1010428935928
114471953a14
122030767a20
13ca2820608
1470d0da8ac
1541088a153
hex26d9ceef8

10428935928 has 128 divisors (see below), whose sum is σ = 27804487680. Its totient is φ = 3254584320.

The previous prime is 10428935927. The next prime is 10428935939. The reversal of 10428935928 is 82953982401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10428935927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2876725 + ... + 2880347.

It is an arithmetic number, because the mean of its divisors is an integer number (217222560).

Almost surely, 210428935928 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 10428935928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13902243840).

10428935928 is an abundant number, since it is smaller than the sum of its proper divisors (17375551752).

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

10428935928 is a wasteful number, since it uses less digits than its factorization.

10428935928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 10428935928 in words is "ten billion, four hundred twenty-eight million, nine hundred thirty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 73 93 106 124 146 159 186 212 219 248 292 318 372 424 438 584 636 744 876 1272 1643 1752 2263 3286 3623 3869 4526 4929 6572 6789 7246 7738 9052 9858 10869 11607 13144 13578 14492 15476 18104 19716 21738 23214 27156 28984 30952 39432 43476 46428 54312 86952 92856 112313 119939 192019 224626 239878 264479 336939 359817 384038 449252 479756 528958 576057 673878 719634 768076 793437 898504 959512 1057916 1152114 1347756 1439268 1536152 1586874 2115832 2304228 2695512 2878536 3173748 4608456 5952589 6347496 8198849 11905178 14017387 16397698 17857767 23810356 24596547 28034774 32795396 35715534 42052161 47620712 49193094 56069548 65590792 71431068 84104322 98386188 112139096 142862136 168208644 196772376 336417288 434538997 869077994 1303616991 1738155988 2607233982 3476311976 5214467964 10428935928