88973280 has 288 divisors, whose sum is σ = 341778528. Its totient is φ = 20889600.

The previous prime is 88973267. The next prime is 88973281. The reversal of 88973280 is 8237988.

88973280 = T₃₈₉ + T₃₉₀ + ... + T₈₃₉.

It is a tau number, because it is divible by the number of its divisors (288).

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 (88973281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649372 + ... + 649508.

It is an arithmetic number, because the mean of its divisors is an integer number (1186731).

Almost surely, 2^88973280 is an apocalyptic number.

88973280 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 88973280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170889264).

88973280 is an abundant number, since it is smaller than the sum of its proper divisors (252805248).

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

88973280 is a wasteful number, since it uses less digits than its factorization.

88973280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

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

The square root of 88973280 is about 9432.5648685816. The cubic root of 88973280 is about 446.4298241915.

It can be divided in two parts, 88973 and 280, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 88973280 in words is "eighty-eight million, nine hundred seventy-three thousand, two hundred eighty".