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28369440 = 2534511199
BaseRepresentation
bin110110000111…
…0001000100000
31222101022120000
41230032020200
524230310230
62452020000
7463064511
oct154161040
958338500
1028369440
1115017420
129601600
135b53a68
143aa6a08
152755b60
hex1b0e220

28369440 has 240 divisors, whose sum is σ = 109771200. Its totient is φ = 6842880.

The previous prime is 28369423. The next prime is 28369457. The reversal of 28369440 is 4496382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28369423) and next prime (28369457).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 28369395 and 28369404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142461 + ... + 142659.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 228369440 is an apocalyptic number.

28369440 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 28369440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885600).

28369440 is an abundant number, since it is smaller than the sum of its proper divisors (81401760).

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

28369440 is a wasteful number, since it uses less digits than its factorization.

28369440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 28369440 is about 5326.2970251386. The cubic root of 28369440 is about 304.9885868702.

The spelling of 28369440 in words is "twenty-eight million, three hundred sixty-nine thousand, four hundred forty".