28687226400 has 1296 divisors, whose sum is σ = 126332414208. Its totient is φ = 6096384000.

The previous prime is 28687226389. The next prime is 28687226413. The reversal of 28687226400 is 462278682.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 470282370 + ... + 470282430.

Almost surely, 2^28687226400 is an apocalyptic number.

28687226400 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 28687226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63166207104).

28687226400 is an abundant number, since it is smaller than the sum of its proper divisors (97645187808).

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

28687226400 is a wasteful number, since it uses less digits than its factorization.

28687226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 28687226400 in words is "twenty-eight billion, six hundred eighty-seven million, two hundred twenty-six thousand, four hundred".