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28190410000 = 2454232732
BaseRepresentation
bin11010010000010001…
…111000010100010000
32200202122020012120021
4122100101320110100
5430213221110000
620541150153224
72015404350154
oct322021702420
980678205507
1028190410000
1110a5682a305
125568ab2814
1328734c7c9c
141515d97064
15aeed2911a
hex690478510

28190410000 has 225 divisors, whose sum is σ = 72339054249. Its totient is φ = 10638144000.

The previous prime is 28190409971. The next prime is 28190410019. The reversal of 28190410000 is 1409182.

It is a happy number.

The square root of 28190410000 is 167900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 19995091216 + 8195318784 = 141404^2 + 90528^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 386169964 + ... + 386170036.

Almost surely, 228190410000 is an apocalyptic number.

28190410000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28190410000 is the 167900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28190410000

28190410000 is an abundant number, since it is smaller than the sum of its proper divisors (44148644249).

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

28190410000 is an frugal number, since it uses more digits than its factorization.

28190410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Multiplying 28190410000 by its sum of digits (25), we get a square (704760250000 = 8395002).

28190410000 divided by its sum of digits (25) gives a square (1127616400 = 335802).

Multiplying 28190410000 by its product of nonzero digits (576), we get a square (16237676160000 = 40296002).

Adding to 28190410000 its reverse (1409182), we get a palindrome (28191819182).

The spelling of 28190410000 in words is "twenty-eight billion, one hundred ninety million, four hundred ten thousand".