89628378000 has 1280 divisors, whose sum is σ = 369384357888. Its totient is φ = 18247680000.

The previous prime is 89628377999. The next prime is 89628378011. The reversal of 89628378000 is 87382698.

It is a super-2 number, since 2×89628378000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1227785964 + ... + 1227786036.

Almost surely, 2^89628378000 is an apocalyptic number.

89628378000 is a gapful number since it is divisible by the number (80) 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 89628378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184692178944).

89628378000 is an abundant number, since it is smaller than the sum of its proper divisors (279755979888).

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

89628378000 is a wasteful number, since it uses less digits than its factorization.

89628378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 89628378000 in words is "eighty-nine billion, six hundred twenty-eight million, three hundred seventy-eight thousand".