28636070400 has 1440 divisors, whose sum is σ = 130150152000. Its totient is φ = 6131220480.

The previous prime is 28636070399. The next prime is 28636070431. The reversal of 28636070400 is 407063682.

28636070400 is a `hidden beast` number, since 2 + 8 + 6 + 3 + 607 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 321753556 + ... + 321753644.

It is an arithmetic number, because the mean of its divisors is an integer number (90382050).

Almost surely, 2^28636070400 is an apocalyptic number.

28636070400 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 28636070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65075076000).

28636070400 is an abundant number, since it is smaller than the sum of its proper divisors (101514081600).

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

28636070400 is a wasteful number, since it uses less digits than its factorization.

28636070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 28636070400 in words is "twenty-eight billion, six hundred thirty-six million, seventy thousand, four hundred".