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28025536 = 26711347
BaseRepresentation
bin110101011101…
…0001011000000
31221201211210211
41222322023000
524133304121
62440403504
7460133050
oct152721300
957654724
1028025536
1114902000
129476594
135a63376
143a17560
1526d8ce1
hex1aba2c0

28025536 has 112 divisors (see below), whose sum is σ = 71396352. Its totient is φ = 10686720.

The previous prime is 28025533. The next prime is 28025561. The reversal of 28025536 is 63552082.

28025536 = T35 + T36 + ... + T551.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 28025498 and 28025507.

It is not an unprimeable number, because it can be changed into a prime (28025533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596265 + ... + 596311.

Almost surely, 228025536 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 28025536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35698176).

28025536 is an abundant number, since it is smaller than the sum of its proper divisors (43370816).

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

28025536 is an equidigital number, since it uses as much as digits as its factorization.

28025536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 28025536 is about 5293.9149974287. The cubic root of 28025536 is about 303.7511814436.

It can be divided in two parts, 28025 and 536, that added together give a 4-th power (28561 = 134).

The spelling of 28025536 in words is "twenty-eight million, twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 64 77 88 94 112 121 154 176 188 224 242 308 329 352 376 448 484 517 616 658 704 752 847 968 1034 1232 1316 1331 1504 1694 1936 2068 2464 2632 2662 3008 3388 3619 3872 4136 4928 5264 5324 5687 6776 7238 7744 8272 9317 10528 10648 11374 13552 14476 16544 18634 21056 21296 22748 27104 28952 33088 37268 39809 42592 45496 54208 57904 62557 74536 79618 85184 90992 115808 125114 149072 159236 181984 231616 250228 298144 318472 363968 437899 500456 596288 636944 875798 1000912 1273888 1751596 2001824 2547776 3503192 4003648 7006384 14012768 28025536