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28531840 = 275109409
BaseRepresentation
bin110110011010…
…1110010000000
31222200120022211
41230311302000
524301004330
62455311504
7464342131
oct154656200
958616284
1028531840
1115118437
12967b594
135bac95c
143b09c88
152788d2a
hex1b35c80

28531840 has 64 divisors (see below), whose sum is σ = 69003000. Its totient is φ = 11280384.

The previous prime is 28531837. The next prime is 28531843. The reversal of 28531840 is 4813582.

It is an interprime number because it is at equal distance from previous prime (28531837) and next prime (28531843).

It can be written as a sum of positive squares in 4 ways, for example, as 28132416 + 399424 = 5304^2 + 632^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28531843) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 69556 + ... + 69964.

Almost surely, 228531840 is an apocalyptic number.

28531840 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 28531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34501500).

28531840 is an abundant number, since it is smaller than the sum of its proper divisors (40471160).

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

28531840 is a wasteful number, since it uses less digits than its factorization.

28531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 28531840 is about 5341.5203828124. The cubic root of 28531840 is about 305.5694458822.

The spelling of 28531840 in words is "twenty-eight million, five hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 320 409 436 545 640 818 872 1090 1636 1744 2045 2180 3272 3488 4090 4360 6544 6976 8180 8720 13088 13952 16360 17440 26176 32720 34880 44581 52352 65440 69760 89162 130880 178324 222905 261760 356648 445810 713296 891620 1426592 1783240 2853184 3566480 5706368 7132960 14265920 28531840