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28641840 = 2435131911
BaseRepresentation
bin110110101000…
…0101000110000
31222220011012220
41231100220300
524313014330
62501521040
7465310623
oct155205060
958804186
1028641840
1115193047
129713180
135c1aa46
143b37dba
1527ab710
hex1b50a30

28641840 has 80 divisors (see below), whose sum is σ = 89565696. Its totient is φ = 7571200.

The previous prime is 28641793. The next prime is 28641853. The reversal of 28641840 is 4814682.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 30985 + ... + 31895.

Almost surely, 228641840 is an apocalyptic number.

28641840 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 28641840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44782848).

28641840 is an abundant number, since it is smaller than the sum of its proper divisors (60923856).

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

28641840 is a wasteful number, since it uses less digits than its factorization.

28641840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 28641840 is about 5351.8071714142. The cubic root of 28641840 is about 305.9616338759.

The spelling of 28641840 in words is "twenty-eight million, six hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 911 1048 1310 1572 1822 1965 2096 2620 2733 3144 3644 3930 4555 5240 5466 6288 7288 7860 9110 10480 10932 13665 14576 15720 18220 21864 27330 31440 36440 43728 54660 72880 109320 119341 218640 238682 358023 477364 596705 716046 954728 1193410 1432092 1790115 1909456 2386820 2864184 3580230 4773640 5728368 7160460 9547280 14320920 28641840