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1928749088 = 257231133313
BaseRepresentation
bin111001011110110…
…0110000000100000
311222102021121100102
41302331212000200
512422224432323
6515215441532
765540045120
oct16275460040
94872247312
101928749088
118aa801812
12459b262a8
1324978b366
1414422cc80
15b44db328
hex72f66020

1928749088 has 96 divisors (see below), whose sum is σ = 4569820416. Its totient is φ = 783433728.

The previous prime is 1928749087. The next prime is 1928749153. The reversal of 1928749088 is 8809478291.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (1928749087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 580520 + ... + 583832.

It is an arithmetic number, because the mean of its divisors is an integer number (47602296).

Almost surely, 21928749088 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 1928749088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284910208).

1928749088 is an abundant number, since it is smaller than the sum of its proper divisors (2641071328).

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

1928749088 is a wasteful number, since it uses less digits than its factorization.

1928749088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 56.

The square root of 1928749088 is about 43917.5259776777. The cubic root of 1928749088 is about 1244.7780205630.

The spelling of 1928749088 in words is "one billion, nine hundred twenty-eight million, seven hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 113 161 184 224 226 322 368 452 644 736 791 904 1288 1582 1808 2576 2599 3164 3313 3616 5152 5198 6328 6626 10396 12656 13252 18193 20792 23191 25312 26504 36386 41584 46382 53008 72772 76199 83168 92764 106016 145544 152398 185528 291088 304796 371056 374369 533393 582176 609592 742112 748738 1066786 1219184 1497476 2133572 2438368 2620583 2994952 4267144 5241166 5989904 8534288 8610487 10482332 11979808 17068576 17220974 20964664 34441948 41929328 60273409 68883896 83858656 120546818 137767792 241093636 275535584 482187272 964374544 1928749088