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28936440 = 2335513229
BaseRepresentation
bin110111001100…
…0100011111000
32000110010100000
41232120203320
524401431230
62512113000
7500645541
oct156304370
960403300
1028936440
1115374415
129835760
135cc1b70
143bb34c8
152818b60
hex1b988f8

28936440 has 192 divisors, whose sum is σ = 105487200. Its totient is φ = 7091712.

The previous prime is 28936421. The next prime is 28936441. The reversal of 28936440 is 4463982.

It is a happy number.

28936440 is a `hidden beast` number, since 2 + 8 + 9 + 3 + 644 + 0 = 666.

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 = 28936395 and 28936404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28936441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126246 + ... + 126474.

Almost surely, 228936440 is an apocalyptic number.

28936440 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 28936440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52743600).

28936440 is an abundant number, since it is smaller than the sum of its proper divisors (76550760).

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

28936440 is a wasteful number, since it uses less digits than its factorization.

28936440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

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

The square root of 28936440 is about 5379.2601721798. The cubic root of 28936440 is about 307.0070626888.

The spelling of 28936440 in words is "twenty-eight million, nine hundred thirty-six thousand, four hundred forty".