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28690000 = 245419151
BaseRepresentation
bin110110101110…
…0011001010000
31222222121021121
41231130121100
524321040000
62502532024
7465601213
oct155343120
958877247
1028690000
1115216249
129737014
135c36941
143b4b77a
1527bab1a
hex1b5c650

28690000 has 100 divisors (see below), whose sum is σ = 73601440. Its totient is φ = 10800000.

The previous prime is 28689979. The next prime is 28690001. The reversal of 28690000 is 9682.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×286900002 = 1646232200000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28690001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189925 + ... + 190075.

Almost surely, 228690000 is an apocalyptic number.

28690000 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 28690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36800720).

28690000 is an abundant number, since it is smaller than the sum of its proper divisors (44911440).

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

28690000 is a wasteful number, since it uses less digits than its factorization.

28690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 28690000 is about 5356.3046963368. The cubic root of 28690000 is about 306.1330248803.

Adding to 28690000 its reverse (9682), we get a palindrome (28699682).

The spelling of 28690000 in words is "twenty-eight million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 151 152 190 200 250 302 304 380 400 475 500 604 625 755 760 950 1000 1208 1250 1510 1520 1900 2000 2375 2416 2500 2869 3020 3775 3800 4750 5000 5738 6040 7550 7600 9500 10000 11476 11875 12080 14345 15100 18875 19000 22952 23750 28690 30200 37750 38000 45904 47500 57380 60400 71725 75500 94375 95000 114760 143450 151000 188750 190000 229520 286900 302000 358625 377500 573800 717250 755000 1147600 1434500 1510000 1793125 2869000 3586250 5738000 7172500 14345000 28690000