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28468440 = 233257111379
BaseRepresentation
bin110110010011…
…0010011011000
31222120100100200
41230212103120
524241442230
62454102200
7463656240
oct154462330
958510320
1028468440
1115084840
12964a960
135b89b40
143ad0b20
152775160
hex1b264d8

28468440 has 384 divisors, whose sum is σ = 125798400. Its totient is φ = 5391360.

The previous prime is 28468423. The next prime is 28468469. The reversal of 28468440 is 4486482.

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 = 28468395 and 28468404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360321 + ... + 360399.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 228468440 is an apocalyptic number.

28468440 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 28468440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

28468440 is an abundant number, since it is smaller than the sum of its proper divisors (97329960).

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

28468440 is a wasteful number, since it uses less digits than its factorization.

28468440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 28468440 is about 5335.5824424331. The cubic root of 28468440 is about 305.3429448909.

The spelling of 28468440 in words is "twenty-eight million, four hundred sixty-eight thousand, four hundred forty".