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28357000 = 235374051
BaseRepresentation
bin110110000101…
…1000110001000
31222100200111021
41230023012020
524224411000
62451442224
7463013320
oct154130610
958320437
1028357000
1115009041
1295b6374
135b4b1b9
143aa2280
15275211a
hex1b0b188

28357000 has 64 divisors (see below), whose sum is σ = 75853440. Its totient is φ = 9720000.

The previous prime is 28356997. The next prime is 28357019. The reversal of 28357000 is 75382.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4975 + ... + 9025.

It is an arithmetic number, because the mean of its divisors is an integer number (1185210).

Almost surely, 228357000 is an apocalyptic number.

28357000 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 28357000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37926720).

28357000 is an abundant number, since it is smaller than the sum of its proper divisors (47496440).

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

28357000 is a wasteful number, since it uses less digits than its factorization.

28357000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 28357000 is about 5325.1291064161. The cubic root of 28357000 is about 304.9440011855.

The spelling of 28357000 in words is "twenty-eight million, three hundred fifty-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 4051 7000 8102 16204 20255 28357 32408 40510 56714 81020 101275 113428 141785 162040 202550 226856 283570 405100 506375 567140 708925 810200 1012750 1134280 1417850 2025500 2835700 3544625 4051000 5671400 7089250 14178500 28357000