28478661120 has 1440 divisors, whose sum is σ = 131694571008. Its totient is φ = 5534908416.

The previous prime is 28478661053. The next prime is 28478661179. The reversal of 28478661120 is 2116687482.

28478661120 is a `hidden beast` number, since 2 + 8 + 4 + 7 + 8 + 6 + 611 + 20 = 666.

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

It is a super-2 number, since 2×28478661120² (a number of 22 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 605928937 + ... + 605928983.

Almost surely, 2^28478661120 is an apocalyptic number.

28478661120 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 28478661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65847285504).

28478661120 is an abundant number, since it is smaller than the sum of its proper divisors (103215909888).

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

28478661120 is a wasteful number, since it uses less digits than its factorization.

28478661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 28478661120 in words is "twenty-eight billion, four hundred seventy-eight million, six hundred sixty-one thousand, one hundred twenty".