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28150400 = 275219463
BaseRepresentation
bin110101101100…
…0101010000000
31221222012002102
41223120222000
524201303100
62443205532
7461163065
oct153305200
957865072
1028150400
11149878a3
1295168a8
135aa8155
143a4ac6c
152710cd5
hex1ad8a80

28150400 has 96 divisors (see below), whose sum is σ = 73358400. Its totient is φ = 10644480.

The previous prime is 28150357. The next prime is 28150469. The reversal of 28150400 is 405182.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60569 + ... + 61031.

It is an arithmetic number, because the mean of its divisors is an integer number (764150).

Almost surely, 228150400 is an apocalyptic number.

28150400 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 28150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36679200).

28150400 is an abundant number, since it is smaller than the sum of its proper divisors (45208000).

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

28150400 is a wasteful number, since it uses less digits than its factorization.

28150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 28150400 is about 5305.6950534308. The cubic root of 28150400 is about 304.2016206364.

Adding to 28150400 its reverse (405182), we get a palindrome (28555582).

The spelling of 28150400 in words is "twenty-eight million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 304 320 380 400 463 475 608 640 760 800 926 950 1216 1520 1600 1852 1900 2315 2432 3040 3200 3704 3800 4630 6080 7408 7600 8797 9260 11575 12160 14816 15200 17594 18520 23150 29632 30400 35188 37040 43985 46300 59264 60800 70376 74080 87970 92600 140752 148160 175940 185200 219925 281504 296320 351880 370400 439850 563008 703760 740800 879700 1126016 1407520 1481600 1759400 2815040 3518800 5630080 7037600 14075200 28150400