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28350432 = 25331119157
BaseRepresentation
bin110110000100…
…1011111100000
31222100100111000
41230021133200
524224203212
62451352000
7462655215
oct154113740
958310430
1028350432
1115004110
1295b2600
135b48206
143a9db0c
1527501dc
hex1b097e0

28350432 has 192 divisors, whose sum is σ = 95558400. Its totient is φ = 8087040.

The previous prime is 28350431. The next prime is 28350433. The reversal of 28350432 is 23405382.

It is an interprime number because it is at equal distance from previous prime (28350431) and next prime (28350433).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 28350396 and 28350405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28350431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180498 + ... + 180654.

It is an arithmetic number, because the mean of its divisors is an integer number (497700).

Almost surely, 228350432 is an apocalyptic number.

28350432 is a gapful number since it is divisible by the number (22) 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 28350432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47779200).

28350432 is an abundant number, since it is smaller than the sum of its proper divisors (67207968).

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

28350432 is a wasteful number, since it uses less digits than its factorization.

28350432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 28350432 is about 5324.5123720393. The cubic root of 28350432 is about 304.9204558310.

It can be divided in two parts, 28350 and 432, that added together give a palindrome (28782).

The spelling of 28350432 in words is "twenty-eight million, three hundred fifty thousand, four hundred thirty-two".