28345363200 has 1458 divisors, whose sum is σ = 131138958132. Its totient is φ = 5818982400.

The previous prime is 28345363177. The next prime is 28345363223. The reversal of 28345363200 is 236354382.

It is a happy number.

28345363200 is a `hidden beast` number, since 283 + 4 + 53 + 6 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28345363177) and next prime (28345363223).

It is a super-2 number, since 2×28345363200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 341510359 + ... + 341510441.

Almost surely, 2^28345363200 is an apocalyptic number.

28345363200 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 28345363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65569479066).

28345363200 is an abundant number, since it is smaller than the sum of its proper divisors (102793594932).

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

28345363200 is a wasteful number, since it uses less digits than its factorization.

28345363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 28345363200 in words is "twenty-eight billion, three hundred forty-five million, three hundred sixty-three thousand, two hundred".