| Base | Representation |
|---|---|
| bin | 110110001110… |
| … | …0100101010000 |
| 3 | 1222111022202000 |
| 4 | 1230130211100 |
| 5 | 24234203444 |
| 6 | 2453154000 |
| 7 | 463432200 |
| oct | 154344520 |
| 9 | 58438660 |
| 10 | 28428624 |
| 11 | 15057934 |
| 12 | 962b900 |
| 13 | 5b74993 |
| 14 | 3ac0400 |
| 15 | 2768469 |
| hex | 1b1c950 |
28428624 has 240 divisors, whose sum is σ = 101779200. Its totient is φ = 7547904.
The previous prime is 28428611. The next prime is 28428637. The reversal of 28428624 is 42682482.
28428624 = 493 + 503 + ... + 1043.
It is a happy number.
28428624 is a `hidden beast` number, since 2 + 8 + 4 + 28 + 624 = 666.
It is an interprime number because it is at equal distance from previous prime (28428611) and next prime (28428637).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 359817 + ... + 359895.
It is an arithmetic number, because the mean of its divisors is an integer number (424080).
Almost surely, 228428624 is an apocalyptic number.
28428624 is a gapful number since it is divisible by the number (24) 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 28428624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).
28428624 is an abundant number, since it is smaller than the sum of its proper divisors (73350576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
28428624 is a wasteful number, since it uses less digits than its factorization.
28428624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 127 (or 108 counting only the distinct ones).
The product of its digits is 49152, while the sum is 36.
The square root of 28428624 is about 5331.8499603796. The cubic root of 28428624 is about 305.2005274519.
The spelling of 28428624 in words is "twenty-eight million, four hundred twenty-eight thousand, six hundred twenty-four".
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