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28057428 = 2234789139
BaseRepresentation
bin110101100000…
…1111101010100
31221210110120000
41223001331110
524140314203
62441211300
7460325040
oct153017524
957713500
1028057428
1114923a63
129490b30
135a74a39
143a25020
1526e34a3
hex1ac1f54

28057428 has 120 divisors (see below), whose sum is σ = 85377600. Its totient is φ = 7869312.

The previous prime is 28057411. The next prime is 28057439. The reversal of 28057428 is 82475082.

It is a happy number.

28057428 is a `hidden beast` number, since 2 + 80 + 574 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28057392 and 28057401.

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 39 ways as a sum of consecutive naturals, for example, 201783 + ... + 201921.

It is an arithmetic number, because the mean of its divisors is an integer number (711480).

Almost surely, 228057428 is an apocalyptic number.

28057428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28057428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42688800).

28057428 is an abundant number, since it is smaller than the sum of its proper divisors (57320172).

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

28057428 is a wasteful number, since it uses less digits than its factorization.

28057428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 28057428 is about 5296.9262785129. The cubic root of 28057428 is about 303.8663568849.

The spelling of 28057428 in words is "twenty-eight million, fifty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 89 108 126 139 162 178 189 252 267 278 324 356 378 417 534 556 567 623 756 801 834 973 1068 1134 1246 1251 1602 1668 1869 1946 2268 2403 2492 2502 2919 3204 3738 3753 3892 4806 5004 5607 5838 7209 7476 7506 8757 9612 11214 11259 11676 12371 14418 15012 16821 17514 22428 22518 24742 26271 28836 33642 35028 37113 45036 49484 50463 52542 67284 74226 78813 86597 100926 105084 111339 148452 157626 173194 201852 222678 259791 315252 334017 346388 445356 519582 668034 779373 1002051 1039164 1336068 1558746 2004102 2338119 3117492 4008204 4676238 7014357 9352476 14028714 28057428