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28329000 = 2335371971
BaseRepresentation
bin110110000010…
…0010000101000
31222022021002020
41230010100220
524223012000
62451104440
7462535560
oct154042050
958267066
1028329000
1114a99aa7
1295a2120
135b3b52b
143a95da0
152748ba0
hex1b04428

28329000 has 256 divisors, whose sum is σ = 107827200. Its totient is φ = 6048000.

The previous prime is 28328941. The next prime is 28329011. The reversal of 28329000 is 92382.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398965 + ... + 399035.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 228329000 is an apocalyptic number.

28329000 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 28329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913600).

28329000 is an abundant number, since it is smaller than the sum of its proper divisors (79498200).

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

28329000 is a wasteful number, since it uses less digits than its factorization.

28329000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 28329000 is about 5322.4994128699. The cubic root of 28329000 is about 304.8435998280.

The spelling of 28329000 in words is "twenty-eight million, three hundred twenty-nine thousand".