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2828102346040 = 235181390621871
BaseRepresentation
bin101001001001111000000…
…010010010010100111000
3101000100211022111200110211
4221021320002102110320
5332313423200033130
610003113504120504
7411216004210066
oct51117002222470
911010738450424
102828102346040
119a0434056054
12398131906134
131768c56b406a
149ac49207036
154d873500a2a
hex29278092538

2828102346040 has 32 divisors (see below), whose sum is σ = 6398386263360. Its totient is φ = 1124990985600.

The previous prime is 2828102346007. The next prime is 2828102346073. The reversal of 2828102346040 is 406432018282.

It is an interprime number because it is at equal distance from previous prime (2828102346007) and next prime (2828102346073).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2828102345984 and 2828102346002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195303696 + ... + 195318175.

It is an arithmetic number, because the mean of its divisors is an integer number (199949570730).

Almost surely, 22828102346040 is an apocalyptic number.

2828102346040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2828102346040 is an abundant number, since it is smaller than the sum of its proper divisors (3570283917320).

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

2828102346040 is a wasteful number, since it uses less digits than its factorization.

2828102346040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390622063 (or 390622059 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 2828102346040 in words is "two trillion, eight hundred twenty-eight billion, one hundred two million, three hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 7240 390621871 781243742 1562487484 1953109355 3124974968 3906218710 7812437420 15624874840 70702558651 141405117302 282810234604 353512793255 565620469208 707025586510 1414051173020 2828102346040