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28378440 = 23325174637
BaseRepresentation
bin110110001000…
…0010101001000
31222101202220100
41230100111020
524231102230
62452125400
7463132656
oct154202510
958352810
1028378440
1115023162
129606860
135b57b9c
143aa9dd6
152758660
hex1b10548

28378440 has 96 divisors (see below), whose sum is σ = 97676280. Its totient is φ = 7120896.

The previous prime is 28378421. The next prime is 28378507. The reversal of 28378440 is 4487382.

28378440 = T314 + T315 + ... + T585.

It can be written as a sum of positive squares in 4 ways, for example, as 23097636 + 5280804 = 4806^2 + 2298^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28378395 and 28378404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3802 + ... + 8438.

Almost surely, 228378440 is an apocalyptic number.

28378440 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 28378440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48838140).

28378440 is an abundant number, since it is smaller than the sum of its proper divisors (69297840).

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

28378440 is a wasteful number, since it uses less digits than its factorization.

28378440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 28378440 is about 5327.1418227789. The cubic root of 28378440 is about 305.0208352693.

The spelling of 28378440 in words is "twenty-eight million, three hundred seventy-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 4637 6120 9274 13911 18548 23185 27822 37096 41733 46370 55644 69555 78829 83466 92740 111288 139110 157658 166932 185480 208665 236487 278220 315316 333864 394145 417330 472974 556440 630632 709461 788290 834660 945948 1182435 1418922 1576580 1669320 1891896 2364870 2837844 3153160 3547305 4729740 5675688 7094610 9459480 14189220 28378440