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28153400 = 23521167191
BaseRepresentation
bin110101101100…
…1011000111000
31221222100012112
41223121120320
524201402100
62443231452
7461204612
oct153313070
957870175
1028153400
111498a080
129518588
135aa9622
143a4bdb2
152711b35
hex1ad9638

28153400 has 96 divisors (see below), whose sum is σ = 72852480. Its totient is φ = 10032000.

The previous prime is 28153393. The next prime is 28153409. The reversal of 28153400 is 435182.

It is a super-2 number, since 2×281534002 = 1585227863120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28153409) 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 23 ways as a sum of consecutive naturals, for example, 147305 + ... + 147495.

It is an arithmetic number, because the mean of its divisors is an integer number (758880).

Almost surely, 228153400 is an apocalyptic number.

28153400 is a gapful number since it is divisible by the number (20) 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 28153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36426240).

28153400 is an abundant number, since it is smaller than the sum of its proper divisors (44699080).

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

28153400 is a wasteful number, since it uses less digits than its factorization.

28153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 28153400 is about 5305.9777609786. The cubic root of 28153400 is about 304.2124265509.

Adding to 28153400 its reverse (435182), we get a palindrome (28588582).

The spelling of 28153400 in words is "twenty-eight million, one hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 88 100 110 134 191 200 220 268 275 335 382 440 536 550 670 737 764 955 1100 1340 1474 1528 1675 1910 2101 2200 2680 2948 3350 3685 3820 4202 4775 5896 6700 7370 7640 8404 9550 10505 12797 13400 14740 16808 18425 19100 21010 25594 29480 36850 38200 42020 51188 52525 63985 73700 84040 102376 105050 127970 140767 147400 210100 255940 281534 319925 420200 511880 563068 639850 703835 1126136 1279700 1407670 2559400 2815340 3519175 5630680 7038350 14076700 28153400