28697814000 has 320 divisors, whose sum is σ = 104086968960. Its totient is φ = 7652750400.

The previous prime is 28697813999. The next prime is 28697814001. The reversal of 28697814000 is 41879682.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28697814000 is a `hidden beast` number, since 2 + 86 + 97 + 81 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28697813999) and next prime (28697814001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28697814001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5739562798 + ... + 5739562802.

It is an arithmetic number, because the mean of its divisors is an integer number (325271778).

Almost surely, 2^28697814000 is an apocalyptic number.

28697814000 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 28697814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52043484480).

28697814000 is an abundant number, since it is smaller than the sum of its proper divisors (75389154960).

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

28697814000 is an frugal number, since it uses more digits than its factorization.

28697814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 28697814000 in words is "twenty-eight billion, six hundred ninety-seven million, eight hundred fourteen thousand".