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28996367400 = 233252721131319
BaseRepresentation
bin11011000000010100…
…010111010000101000
32202211210210002021100
4123000110113100220
5433341032224100
621153140441400
72044362025200
oct330024272050
982753702240
1028996367400
111132a76a000
1257529a9260
132971485660
141591033400
15b4a97b400
hex6c0517428

28996367400 has 1728 divisors, whose sum is σ = 141244084800. Its totient is φ = 5269017600.

The previous prime is 28996367399. The next prime is 28996367453. The reversal of 28996367400 is 476369982.

It is a happy number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 1526124591 + ... + 1526124609.

It is an arithmetic number, because the mean of its divisors is an integer number (81738475).

Almost surely, 228996367400 is an apocalyptic number.

28996367400 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 28996367400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70622042400).

28996367400 is an abundant number, since it is smaller than the sum of its proper divisors (112247717400).

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

28996367400 is a wasteful number, since it uses less digits than its factorization.

28996367400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 28996367400 in words is "twenty-eight billion, nine hundred ninety-six million, three hundred sixty-seven thousand, four hundred".